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55740465 = 32511229353
BaseRepresentation
bin1101010010100…
…0100000110001
310212212220112200
43110220200301
5103232143330
65310413413
71244533434
oct324504061
9125786480
1055740465
1129511700
1216801269
13b718231
14758d81b
154d60a60
hex3528831

55740465 has 72 divisors (see below), whose sum is σ = 110171880. Its totient is φ = 26019840.

The previous prime is 55740439. The next prime is 55740469. The reversal of 55740465 is 56404755.

It is a happy number.

55740465 is a `hidden beast` number, since 557 + 40 + 4 + 65 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4460544 + 51279921 = 2112^2 + 7161^2 .

It is not a de Polignac number, because 55740465 - 26 = 55740401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (55740469) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 157729 + ... + 158081.

It is an arithmetic number, because the mean of its divisors is an integer number (1530165).

Almost surely, 255740465 is an apocalyptic number.

55740465 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

55740465 is a deficient number, since it is larger than the sum of its proper divisors (54431415).

55740465 is a wasteful number, since it uses less digits than its factorization.

55740465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 55740465 is about 7465.9537234033. The cubic root of 55740465 is about 381.9942823263.

The spelling of 55740465 in words is "fifty-five million, seven hundred forty thousand, four hundred sixty-five".

Divisors: 1 3 5 9 11 15 29 33 45 55 87 99 121 145 165 261 319 353 363 435 495 605 957 1059 1089 1305 1595 1765 1815 2871 3177 3509 3883 4785 5295 5445 10237 10527 11649 14355 15885 17545 19415 30711 31581 34947 42713 51185 52635 58245 92133 112607 128139 153555 157905 174735 213565 337821 384417 460665 563035 640695 1013463 1238677 1689105 1922085 3716031 5067315 6193385 11148093 18580155 55740465