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54860085 = 345737523
BaseRepresentation
bin1101000101000…
…1100100110101
310211020011220000
43101101210311
5103021010320
65235501513
71234205640
oct321214465
9124204800
1054860085
1128a70215
1216457899
13b49a5b7
147400a57
154c39c90
hex3451935

54860085 has 80 divisors (see below), whose sum is σ = 115648896. Its totient is φ = 24354432.

The previous prime is 54860081. The next prime is 54860093. The reversal of 54860085 is 58006845.

It is a happy number.

54860085 is a `hidden beast` number, since 5 + 48 + 600 + 8 + 5 = 666.

It is not a de Polignac number, because 54860085 - 22 = 54860081 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54860081) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 104634 + ... + 105156.

Almost surely, 254860085 is an apocalyptic number.

It is an amenable number.

54860085 is an abundant number, since it is smaller than the sum of its proper divisors (60788811).

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

54860085 is a wasteful number, since it uses less digits than its factorization.

54860085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 54860085 is about 7406.7594128607. The cubic root of 54860085 is about 379.9724933922.

The spelling of 54860085 in words is "fifty-four million, eight hundred sixty thousand, eighty-five".

Divisors: 1 3 5 7 9 15 21 27 35 37 45 63 81 105 111 135 185 189 259 315 333 405 523 555 567 777 945 999 1295 1569 1665 2331 2615 2835 2997 3661 3885 4707 4995 6993 7845 10983 11655 14121 14985 18305 19351 20979 23535 32949 34965 42363 54915 58053 70605 96755 98847 104895 135457 164745 174159 211815 290265 296541 406371 494235 522477 677285 870795 1219113 1482705 1567431 2031855 2612385 3657339 6095565 7837155 10972017 18286695 54860085