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4972704 = 2531117277
BaseRepresentation
bin10010111110000010100000
3100100122021020
4102332002200
52233111304
6254325440
760160452
oct22760240
910318236
104972704
112897080
1217b9880
131051539
149362d2
156835d9
hex4be0a0

4972704 has 96 divisors (see below), whose sum is σ = 15132096. Its totient is φ = 1413120.

The previous prime is 4972691. The next prime is 4972727. The reversal of 4972704 is 4072794.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17814 + ... + 18090.

It is an arithmetic number, because the mean of its divisors is an integer number (157626).

Almost surely, 24972704 is an apocalyptic number.

4972704 is a gapful number since it is divisible by the number (44) 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 4972704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7566048).

4972704 is an abundant number, since it is smaller than the sum of its proper divisors (10159392).

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

4972704 is a wasteful number, since it uses less digits than its factorization.

4972704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 4972704 is about 2229.9560533786. The cubic root of 4972704 is about 170.6858566746.

The spelling of 4972704 in words is "four million, nine hundred seventy-two thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 66 68 88 96 102 132 136 176 187 204 264 272 277 352 374 408 528 544 554 561 748 816 831 1056 1108 1122 1496 1632 1662 2216 2244 2992 3047 3324 4432 4488 4709 5984 6094 6648 8864 8976 9141 9418 12188 13296 14127 17952 18282 18836 24376 26592 28254 36564 37672 48752 51799 56508 73128 75344 97504 103598 113016 146256 150688 155397 207196 226032 292512 310794 414392 452064 621588 828784 1243176 1657568 2486352 4972704