Search a number
-
+
4162316256 = 253272389767
BaseRepresentation
bin1111100000010111…
…1110011111100000
3101202002010120111100
43320011332133200
532011023110011
61525004514400
7205101050550
oct37005763740
911662116440
104162316256
11184657889a
12981b4ba00
13514443537
142b6b27160
15195638d56
hexf817e7e0

4162316256 has 144 divisors (see below), whose sum is σ = 14115838464. Its totient is φ = 1137514752.

The previous prime is 4162316239. The next prime is 4162316281. The reversal of 4162316256 is 6526132614.

4162316256 is a `hidden beast` number, since 4 + 1 + 6 + 23 + 1 + 625 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×41623162562 = 34649753229923715072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4162316256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1485 + ... + 91251.

It is an arithmetic number, because the mean of its divisors is an integer number (98026656).

Almost surely, 24162316256 is an apocalyptic number.

4162316256 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4162316256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7057919232).

4162316256 is an abundant number, since it is smaller than the sum of its proper divisors (9953522208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4162316256 is a wasteful number, since it uses less digits than its factorization.

4162316256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89813 (or 89802 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 4162316256 is about 64516.0155000291. The cubic root of 4162316256 is about 1608.5887426094.

The spelling of 4162316256 in words is "four billion, one hundred sixty-two million, three hundred sixteen thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 32 36 42 46 48 56 63 69 72 84 92 96 112 126 138 144 161 168 184 207 224 252 276 288 322 336 368 414 483 504 552 644 672 736 828 966 1008 1104 1288 1449 1656 1932 2016 2208 2576 2898 3312 3864 5152 5796 6624 7728 11592 15456 23184 46368 89767 179534 269301 359068 538602 628369 718136 807903 1077204 1256738 1436272 1615806 1885107 2064641 2154408 2513476 2872544 3231612 3770214 4129282 4308816 5026952 5655321 6193923 6463224 7540428 8258564 8617632 10053904 11310642 12387846 12926448 14452487 15080856 16517128 18581769 20107808 22621284 24775692 25852896 28904974 30161712 33034256 37163538 43357461 45242568 49551384 57809948 60323424 66068512 74327076 86714922 90485136 99102768 115619896 130072383 148654152 173429844 180970272 198205536 231239792 260144766 297308304 346859688 462479584 520289532 594616608 693719376 1040579064 1387438752 2081158128 4162316256