Search a number
-
+
4628376270 = 232578778377
BaseRepresentation
bin1000100111101111…
…10110101011001110
3102221120002212122100
410103313312223032
533434331020040
62043134055530
7222460356240
oct42367665316
912846085570
104628376270
111a65663661
12a9204a5a6
13589b741ab
1431c9a6090
151c14eab30
hex113df6ace

4628376270 has 96 divisors (see below), whose sum is σ = 13770214848. Its totient is φ = 1056582144.

The previous prime is 4628376253. The next prime is 4628376317. The reversal of 4628376270 is 726738264.

4628376270 is a `hidden beast` number, since 4 + 6 + 2 + 8 + 376 + 270 = 666.

It is a super-2 number, since 2×46283762702 = 42843733793398225800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 548322 + ... + 556698.

It is an arithmetic number, because the mean of its divisors is an integer number (143439738).

Almost surely, 24628376270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4628376270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6885107424).

4628376270 is an abundant number, since it is smaller than the sum of its proper divisors (9141838578).

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

4628376270 is a wasteful number, since it uses less digits than its factorization.

4628376270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9274 (or 9271 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 4628376270 is about 68032.1708458579. The cubic root of 4628376270 is about 1666.5162499364.

The spelling of 4628376270 in words is "four billion, six hundred twenty-eight million, three hundred seventy-six thousand, two hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 877 1754 2631 4385 5262 6139 7893 8377 8770 12278 13155 15786 16754 18417 25131 26310 30695 36834 39465 41885 50262 55251 58639 61390 75393 78930 83770 92085 110502 117278 125655 150786 175917 184170 251310 276255 293195 351834 376965 527751 552510 586390 753930 879585 1055502 1759170 2638755 5277510 7346629 14693258 22039887 36733145 44079774 51426403 66119661 73466290 102852806 110199435 132239322 154279209 220398870 257132015 308558418 330598305 462837627 514264030 661196610 771396045 925675254 1542792090 2314188135 4628376270