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53058408 = 23313173983
BaseRepresentation
bin1100101001100…
…1101101101000
310200211122110020
43022121231220
5102040332113
65133120440
71212663144
oct312315550
9120748406
1053058408
1127a4a627
1215929120
13acb9510
147092224
1549d1023
hex3299b68

53058408 has 64 divisors (see below), whose sum is σ = 143821440. Its totient is φ = 16214784.

The previous prime is 53058361. The next prime is 53058413. The reversal of 53058408 is 80485035.

It is a happy number.

53058408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 53485 + ... + 54467.

It is an arithmetic number, because the mean of its divisors is an integer number (2247210).

Almost surely, 253058408 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 53058408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71910720).

53058408 is an abundant number, since it is smaller than the sum of its proper divisors (90763032).

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

53058408 is a wasteful number, since it uses less digits than its factorization.

53058408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 53058408 is about 7284.1202625986. The cubic root of 53058408 is about 375.7665103863.

The spelling of 53058408 in words is "fifty-three million, fifty-eight thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 173 312 346 519 692 983 1038 1384 1966 2076 2249 2949 3932 4152 4498 5898 6747 7864 8996 11796 12779 13494 17992 23592 25558 26988 38337 51116 53976 76674 102232 153348 170059 306696 340118 510177 680236 1020354 1360472 2040708 2210767 4081416 4421534 6632301 8843068 13264602 17686136 26529204 53058408