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5076456 = 2337114167
BaseRepresentation
bin10011010111010111101000
3100112220120220
4103113113220
52244421311
6300450040
761102110
oct23272750
910486526
105076456
112958020
121849920
131089828
14962040
156a4206
hex4d75e8

5076456 has 128 divisors (see below), whose sum is σ = 16450560. Its totient is φ = 1267200.

The previous prime is 5076443. The next prime is 5076473. The reversal of 5076456 is 6546705.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 75735 + ... + 75801.

It is an arithmetic number, because the mean of its divisors is an integer number (128520).

Almost surely, 25076456 is an apocalyptic number.

5076456 is a gapful number since it is divisible by the number (56) 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 5076456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8225280).

5076456 is an abundant number, since it is smaller than the sum of its proper divisors (11374104).

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

5076456 is a wasteful number, since it uses less digits than its factorization.

5076456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 5076456 is about 2253.0991988814. The cubic root of 5076456 is about 171.8647756342.

The spelling of 5076456 in words is "five million, seventy-six thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 41 42 44 56 66 67 77 82 84 88 123 132 134 154 164 168 201 231 246 264 268 287 308 328 402 451 462 469 492 536 574 616 737 804 861 902 924 938 984 1148 1353 1407 1474 1608 1722 1804 1848 1876 2211 2296 2706 2747 2814 2948 3157 3444 3608 3752 4422 5159 5412 5494 5628 5896 6314 6888 8241 8844 9471 10318 10824 10988 11256 12628 15477 16482 17688 18942 19229 20636 21976 25256 30217 30954 32964 37884 38458 41272 57687 60434 61908 65928 75768 76916 90651 115374 120868 123816 153832 181302 211519 230748 241736 362604 423038 461496 634557 725208 846076 1269114 1692152 2538228 5076456