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5051904 = 293111323
BaseRepresentation
bin10011010001011000000000
3100111122220120
4103101120000
52243130104
6300140240
760640404
oct23213000
910448816
105051904
112940630
121837680
13107b5c0
14957104
1569bcd9
hex4d1600

5051904 has 160 divisors (see below), whose sum is σ = 16498944. Its totient is φ = 1351680.

The previous prime is 5051903. The next prime is 5051911. The reversal of 5051904 is 4091505.

5051904 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5051903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219637 + ... + 219659.

Almost surely, 25051904 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 5051904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8249472).

5051904 is an abundant number, since it is smaller than the sum of its proper divisors (11447040).

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

5051904 is a wasteful number, since it uses less digits than its factorization.

5051904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 5051904 is about 2247.6440999411. The cubic root of 5051904 is about 171.5872562409.

The spelling of 5051904 in words is "five million, fifty-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 23 24 26 32 33 39 44 46 48 52 64 66 69 78 88 92 96 104 128 132 138 143 156 176 184 192 208 253 256 264 276 286 299 312 352 368 384 416 429 506 512 528 552 572 598 624 704 736 759 768 832 858 897 1012 1056 1104 1144 1196 1248 1408 1472 1518 1536 1664 1716 1794 2024 2112 2208 2288 2392 2496 2816 2944 3036 3289 3328 3432 3588 4048 4224 4416 4576 4784 4992 5632 5888 6072 6578 6656 6864 7176 8096 8448 8832 9152 9568 9867 9984 11776 12144 13156 13728 14352 16192 16896 17664 18304 19136 19734 19968 24288 26312 27456 28704 32384 35328 36608 38272 39468 48576 52624 54912 57408 64768 73216 76544 78936 97152 105248 109824 114816 129536 153088 157872 194304 210496 219648 229632 315744 388608 420992 459264 631488 841984 1262976 1683968 2525952 5051904