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4795904 = 29171929
BaseRepresentation
bin10010010010111000000000
3100000122202002
4102102320000
52211432104
6250443132
755523141
oct22227000
910018662
104795904
112786263
1217334a8
13cbbc19
148cbac8
1564b01e
hex492e00

4795904 has 80 divisors (see below), whose sum is σ = 11048400. Its totient is φ = 2064384.

The previous prime is 4795897. The next prime is 4795909. The reversal of 4795904 is 4095974.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4795909) 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 7 ways as a sum of consecutive naturals, for example, 165362 + ... + 165390.

It is an arithmetic number, because the mean of its divisors is an integer number (138105).

Almost surely, 24795904 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 4795904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5524200).

4795904 is an abundant number, since it is smaller than the sum of its proper divisors (6252496).

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

4795904 is a wasteful number, since it uses less digits than its factorization.

4795904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 4795904 is about 2189.9552506844. The cubic root of 4795904 is about 168.6385374585.

The spelling of 4795904 in words is "four million, seven hundred ninety-five thousand, nine hundred four".

Divisors: 1 2 4 8 16 17 19 29 32 34 38 58 64 68 76 116 128 136 152 232 256 272 304 323 464 493 512 544 551 608 646 928 986 1088 1102 1216 1292 1856 1972 2176 2204 2432 2584 3712 3944 4352 4408 4864 5168 7424 7888 8704 8816 9367 9728 10336 14848 15776 17632 18734 20672 31552 35264 37468 41344 63104 70528 74936 82688 126208 141056 149872 165376 252416 282112 299744 599488 1198976 2397952 4795904