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55158064 = 24131719821
BaseRepresentation
bin1101001001101…
…0010100110000
310211210022122021
43102122110300
5103110024224
65250121224
71236556453
oct322322460
9124708567
1055158064
1129154085
1216580214
13b573110
14747b49a
154c981e4
hex349a530

55158064 has 80 divisors (see below), whose sum is σ = 128429280. Its totient is φ = 22671360.

The previous prime is 55158043. The next prime is 55158067. The reversal of 55158064 is 46085155.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (55158067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66774 + ... + 67594.

It is an arithmetic number, because the mean of its divisors is an integer number (1605366).

Almost surely, 255158064 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 55158064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64214640).

55158064 is an abundant number, since it is smaller than the sum of its proper divisors (73271216).

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

55158064 is a wasteful number, since it uses less digits than its factorization.

55158064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 34.

The square root of 55158064 is about 7426.8475142553. The cubic root of 55158064 is about 380.6592066543.

The spelling of 55158064 in words is "fifty-five million, one hundred fifty-eight thousand, sixty-four".

Divisors: 1 2 4 8 13 16 17 19 26 34 38 52 68 76 104 136 152 208 221 247 272 304 323 442 494 646 821 884 988 1292 1642 1768 1976 2584 3284 3536 3952 4199 5168 6568 8398 10673 13136 13957 15599 16796 21346 27914 31198 33592 42692 55828 62396 67184 85384 111656 124792 170768 181441 202787 223312 249584 265183 362882 405574 530366 725764 811148 1060732 1451528 1622296 2121464 2903056 3244592 3447379 4242928 6894758 13789516 27579032 55158064