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55468824 = 23317232257
BaseRepresentation
bin1101001110011…
…0001100011000
310212101002220220
43103212030120
5103200000244
65300520040
71242322455
oct323461430
9125332826
1055468824
1129346604
12166b0020
13b6516b8
14751c82c
154d0a319
hex34e6318

55468824 has 96 divisors (see below), whose sum is σ = 154087920. Its totient is φ = 16580608.

The previous prime is 55468811. The next prime is 55468837. The reversal of 55468824 is 42886455.

It is an interprime number because it is at equal distance from previous prime (55468811) and next prime (55468837).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215704 + ... + 215960.

Almost surely, 255468824 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 55468824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77043960).

55468824 is an abundant number, since it is smaller than the sum of its proper divisors (98619096).

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

55468824 is a wasteful number, since it uses less digits than its factorization.

55468824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 302 counting only the distinct ones).

The product of its digits is 307200, while the sum is 42.

The square root of 55468824 is about 7447.7395228351. The cubic root of 55468824 is about 381.3727450694.

It can be divided in two parts, 554 and 68824, that added together give a triangular number (69378 = T372).

The spelling of 55468824 in words is "fifty-five million, four hundred sixty-eight thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 17 23 24 34 46 51 68 69 92 102 136 138 184 204 257 276 391 408 514 529 552 771 782 1028 1058 1173 1542 1564 1587 2056 2116 2346 3084 3128 3174 4232 4369 4692 5911 6168 6348 8738 8993 9384 11822 12696 13107 17476 17733 17986 23644 26214 26979 34952 35466 35972 47288 52428 53958 70932 71944 100487 104856 107916 135953 141864 200974 215832 271906 301461 401948 407859 543812 602922 803896 815718 1087624 1205844 1631436 2311201 2411688 3262872 4622402 6933603 9244804 13867206 18489608 27734412 55468824