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54155970 = 23251124973
BaseRepresentation
bin1100111010010…
…1101011000010
310202220102000200
43032211223002
5102330442340
65212430030
71225214061
oct316455302
9122812020
1054155970
112862a200
1216178316
13b2b1c6b
14729a1d8
154b4b330
hex33a5ac2

54155970 has 72 divisors (see below), whose sum is σ = 154800828. Its totient is φ = 13126080.

The previous prime is 54155953. The next prime is 54156019. The reversal of 54155970 is 7955145.

54155970 is a `hidden beast` number, since 54 + 15 + 597 + 0 = 666.

54155970 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 54154881 + 1089 = 7359^2 + 33^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8404 + ... + 13376.

Almost surely, 254155970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54155970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77400414).

54155970 is an abundant number, since it is smaller than the sum of its proper divisors (100644858).

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

54155970 is a wasteful number, since it uses less digits than its factorization.

54155970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5008 (or 4994 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The square root of 54155970 is about 7359.0739906594. The cubic root of 54155970 is about 378.3398723644.

The spelling of 54155970 in words is "fifty-four million, one hundred fifty-five thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 121 165 198 242 330 363 495 605 726 990 1089 1210 1815 2178 3630 4973 5445 9946 10890 14919 24865 29838 44757 49730 54703 74595 89514 109406 149190 164109 223785 273515 328218 447570 492327 547030 601733 820545 984654 1203466 1641090 1805199 2461635 3008665 3610398 4923270 5415597 6017330 9025995 10831194 18051990 27077985 54155970