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55135878 = 237373367
BaseRepresentation
bin1101001001010…
…0111010000110
310211202012012120
43102110322012
5103103322003
65245430410
71236435000
oct322247206
9124665176
1055135878
1129139446
121656b406
13b565ca5
147473370
154c91853
hex3494e86

55135878 has 64 divisors (see below), whose sum is σ = 130713600. Its totient is φ = 15494976.

The previous prime is 55135877. The next prime is 55135909. The reversal of 55135878 is 87853155.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55135877) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150051 + ... + 150417.

It is an arithmetic number, because the mean of its divisors is an integer number (2042400).

Almost surely, 255135878 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55135878, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65356800).

55135878 is an abundant number, since it is smaller than the sum of its proper divisors (75577722).

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

55135878 is a wasteful number, since it uses less digits than its factorization.

55135878 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 452 counting only the distinct ones).

The product of its digits is 168000, while the sum is 42.

The square root of 55135878 is about 7425.3537289479. The cubic root of 55135878 is about 380.6081628171.

The spelling of 55135878 in words is "fifty-five million, one hundred thirty-five thousand, eight hundred seventy-eight".

Divisors: 1 2 3 6 7 14 21 42 49 73 98 146 147 219 294 343 367 438 511 686 734 1022 1029 1101 1533 2058 2202 2569 3066 3577 5138 7154 7707 10731 15414 17983 21462 25039 26791 35966 50078 53582 53949 75117 80373 107898 125881 150234 160746 187537 251762 375074 377643 562611 755286 1125222 1312759 2625518 3938277 7876554 9189313 18378626 27567939 55135878