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1052204256 = 25341723879
BaseRepresentation
bin111110101101110…
…101110011100000
32201022220111220000
4332231311303200
54123331014011
6252224220000
735034405615
oct7655656340
92638814800
101052204256
1149aa3a6a4
1225446a600
13139cb798c
149da5a50c
1562594356
hex3eb75ce0

1052204256 has 120 divisors (see below), whose sum is σ = 3276670320. Its totient is φ = 330089472.

The previous prime is 1052204243. The next prime is 1052204267. The reversal of 1052204256 is 6524022501.

1052204256 is a `hidden beast` number, since 10 + 5 + 220 + 425 + 6 = 666.

It is a super-2 number, since 2×10522042562 = 2214267592689027072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32125 + ... + 56003.

It is an arithmetic number, because the mean of its divisors is an integer number (27305586).

Almost surely, 21052204256 is an apocalyptic number.

1052204256 is a gapful number since it is divisible by the number (16) 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 1052204256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638335160).

1052204256 is an abundant number, since it is smaller than the sum of its proper divisors (2224466064).

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

1052204256 is a wasteful number, since it uses less digits than its factorization.

1052204256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23918 (or 23901 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1052204256 is about 32437.6980687594. The cubic root of 1052204256 is about 1017.1070970829.

Adding to 1052204256 its reverse (6524022501), we get a palindrome (7576226757).

The spelling of 1052204256 in words is "one billion, fifty-two million, two hundred four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 81 96 102 108 136 144 153 162 204 216 272 288 306 324 408 432 459 544 612 648 816 864 918 1224 1296 1377 1632 1836 2448 2592 2754 3672 4896 5508 7344 11016 14688 22032 23879 44064 47758 71637 95516 143274 191032 214911 286548 382064 405943 429822 573096 644733 764128 811886 859644 1146192 1217829 1289466 1623772 1719288 1934199 2292384 2435658 2578932 3247544 3438576 3653487 3868398 4871316 5157864 6495088 6877152 7306974 7736796 9742632 10315728 10960461 12990176 14613948 15473592 19485264 20631456 21920922 29227896 30947184 32881383 38970528 43841844 58455792 61894368 65762766 87683688 116911584 131525532 175367376 263051064 350734752 526102128 1052204256