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55497936 = 243131931151
BaseRepresentation
bin1101001110110…
…1010011010000
310212102120212010
43103231103100
5103201413221
65301302520
71242503364
oct323552320
9125376763
1055497936
112936646a
1216704a40
13b661a20
1475292a4
154d13c76
hex34ed4d0

55497936 has 160 divisors (see below), whose sum is σ = 168878080. Its totient is φ = 15552000.

The previous prime is 55497899. The next prime is 55497947. The reversal of 55497936 is 63979455.

55497936 is digitally balanced in base 2, 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 (48).

Its product of digits (1020600) is a multiple of the sum of its prime factors (225).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 367461 + ... + 367611.

It is an arithmetic number, because the mean of its divisors is an integer number (1055488).

Almost surely, 255497936 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 55497936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84439040).

55497936 is an abundant number, since it is smaller than the sum of its proper divisors (113380144).

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

55497936 is a wasteful number, since it uses less digits than its factorization.

55497936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 219 counting only the distinct ones).

The product of its digits is 1020600, while the sum is 48.

The square root of 55497936 is about 7449.6936849779. The cubic root of 55497936 is about 381.4394527008.

The spelling of 55497936 in words is "fifty-five million, four hundred ninety-seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 31 38 39 48 52 57 62 76 78 93 104 114 124 151 152 156 186 208 228 247 248 302 304 312 372 403 453 456 494 496 589 604 624 741 744 806 906 912 988 1178 1208 1209 1482 1488 1612 1767 1812 1963 1976 2356 2416 2418 2869 2964 3224 3534 3624 3926 3952 4681 4712 4836 5738 5889 5928 6448 7068 7248 7657 7852 8607 9362 9424 9672 11476 11778 11856 14043 14136 15314 15704 17214 18724 19344 22952 22971 23556 28086 28272 30628 31408 34428 37297 37448 45904 45942 47112 56172 60853 61256 68856 74594 74896 88939 91884 94224 111891 112344 121706 122512 137712 149188 177878 182559 183768 223782 224688 243412 266817 298376 355756 365118 367536 447564 486824 533634 596752 711512 730236 895128 973648 1067268 1156207 1423024 1460472 1790256 2134536 2312414 2920944 3468621 4269072 4624828 6937242 9249656 13874484 18499312 27748968 55497936