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55879551 = 357213192
BaseRepresentation
bin1101010100101…
…0011101111111
310220010222100000
43111022131333
5103301121201
65313405343
71245653100
oct325123577
9126128300
1055879551
11295a7152
1216869853
13b766630
1475c83a7
154d8bd86
hex354a77f

55879551 has 108 divisors (see below), whose sum is σ = 110669832. Its totient is φ = 27923616.

The previous prime is 55879511. The next prime is 55879553. The reversal of 55879551 is 15597855.

55879551 is a `hidden beast` number, since 558 + 7 + 95 + 5 + 1 = 666.

It is not a de Polignac number, because 55879551 - 29 = 55879039 is a prime.

Its product of digits (315000) is a multiple of the sum of its prime divisors (42).

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 55879497 and 55879506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55879553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2941020 + ... + 2941038.

Almost surely, 255879551 is an apocalyptic number.

55879551 is a deficient number, since it is larger than the sum of its proper divisors (54790281).

55879551 is a wasteful number, since it uses less digits than its factorization.

55879551 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 42 counting only the distinct ones).

The product of its digits is 315000, while the sum is 45.

The square root of 55879551 is about 7475.2626040829. The cubic root of 55879551 is about 382.3117412681.

The spelling of 55879551 in words is "fifty-five million, eight hundred seventy-nine thousand, five hundred fifty-one".

Divisors: 1 3 7 9 13 19 21 27 39 49 57 63 81 91 117 133 147 171 189 243 247 273 351 361 399 441 513 567 637 741 819 931 1053 1083 1197 1323 1539 1701 1729 1911 2223 2457 2527 2793 3159 3249 3591 3969 4617 4693 5187 5733 6669 7371 7581 8379 9747 10773 11907 12103 14079 15561 17199 17689 20007 22113 22743 25137 29241 32319 32851 36309 42237 46683 51597 53067 60021 68229 75411 87723 98553 108927 126711 140049 154791 159201 204687 226233 229957 295659 326781 380133 420147 477603 614061 689871 886977 980343 1140399 1432809 2069613 2660931 2941029 4298427 6208839 7982793 18626517 55879551