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4960956 = 22372111359
BaseRepresentation
bin10010111011001010111100
3100100001011010
4102323022330
52232222311
6254155220
760111300
oct22731274
910301133
104960956
112889270
1217b2b10
1310490a0
14931d00
1567eda6
hex4bb2bc

4960956 has 144 divisors (see below), whose sum is σ = 16087680. Its totient is φ = 1169280.

The previous prime is 4960951. The next prime is 4960973. The reversal of 4960956 is 6590694.

It is a super-2 number, since 2×49609562 = 49222168867872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4960951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84055 + ... + 84113.

It is an arithmetic number, because the mean of its divisors is an integer number (111720).

Almost surely, 24960956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4960956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8043840).

4960956 is an abundant number, since it is smaller than the sum of its proper divisors (11126724).

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

4960956 is a wasteful number, since it uses less digits than its factorization.

4960956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 4960956 is about 2227.3203631270. The cubic root of 4960956 is about 170.5513357227.

The spelling of 4960956 in words is "four million, nine hundred sixty thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 49 52 59 66 77 78 84 91 98 118 132 143 147 154 156 177 182 196 231 236 273 286 294 308 354 364 413 429 462 539 546 572 588 637 649 708 767 826 858 924 1001 1078 1092 1239 1274 1298 1534 1617 1652 1716 1911 1947 2002 2156 2301 2478 2548 2596 2891 3003 3068 3234 3822 3894 4004 4543 4602 4956 5369 5782 6006 6468 7007 7644 7788 8437 8673 9086 9204 10738 11564 12012 13629 14014 16107 16874 17346 18172 21021 21476 25311 27258 28028 31801 32214 33748 34692 37583 42042 50622 54516 59059 63602 64428 75166 84084 95403 101244 112749 118118 127204 150332 177177 190806 225498 236236 354354 381612 413413 450996 708708 826826 1240239 1653652 2480478 4960956