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53900928 = 273271659
BaseRepresentation
bin1100110110011…
…1011010000000
310202102110011200
43031213122000
5102244312203
65203141200
71223102364
oct315473200
9122373150
1053900928
1128475624
1216074800
13b222b53
1472312a4
154aea9a3
hex3367680

53900928 has 96 divisors (see below), whose sum is σ = 157528800. Its totient is φ = 17687040.

The previous prime is 53900927. The next prime is 53900939. The reversal of 53900928 is 82900935.

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

It is a super-2 number, since 2×539009282 = 5810620078522368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 53900892 and 53900901.

It is not an unprimeable number, because it can be changed into a prime (53900921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81463 + ... + 82121.

It is an arithmetic number, because the mean of its divisors is an integer number (1640925).

Almost surely, 253900928 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 53900928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78764400).

53900928 is an abundant number, since it is smaller than the sum of its proper divisors (103627872).

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

53900928 is a wasteful number, since it uses less digits than its factorization.

53900928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 53900928 is about 7341.7251378678. The cubic root of 53900928 is about 377.7450199457.

The spelling of 53900928 in words is "fifty-three million, nine hundred thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 71 72 96 128 142 144 192 213 284 288 384 426 568 576 639 659 852 1136 1152 1278 1318 1704 1977 2272 2556 2636 3408 3954 4544 5112 5272 5931 6816 7908 9088 10224 10544 11862 13632 15816 20448 21088 23724 27264 31632 40896 42176 46789 47448 63264 81792 84352 93578 94896 126528 140367 187156 189792 253056 280734 374312 379584 421101 561468 748624 759168 842202 1122936 1497248 1684404 2245872 2994496 3368808 4491744 5988992 6737616 8983488 13475232 17966976 26950464 53900928