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54990376 = 23717471229
BaseRepresentation
bin1101000111000…
…1011000101000
310211110210121121
43101301120220
5103034143001
65242345024
71235260540
oct321613050
9124423547
1054990376
112904a0a1
12164bb174
13b5149ac
147436320
154c636a1
hex3471628

54990376 has 64 divisors (see below), whose sum is σ = 127526400. Its totient is φ = 21691392.

The previous prime is 54990371. The next prime is 54990413. The reversal of 54990376 is 67309945.

It is not an unprimeable number, because it can be changed into a prime (54990371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44130 + ... + 45358.

It is an arithmetic number, because the mean of its divisors is an integer number (1992600).

Almost surely, 254990376 is an apocalyptic number.

54990376 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54990376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63763200).

54990376 is an abundant number, since it is smaller than the sum of its proper divisors (72536024).

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

54990376 is a wasteful number, since it uses less digits than its factorization.

54990376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 43.

The square root of 54990376 is about 7415.5496087613. The cubic root of 54990376 is about 380.2730631977.

The spelling of 54990376 in words is "fifty-four million, nine hundred ninety thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 17 28 34 47 56 68 94 119 136 188 238 329 376 476 658 799 952 1229 1316 1598 2458 2632 3196 4916 5593 6392 8603 9832 11186 17206 20893 22372 34412 41786 44744 57763 68824 83572 115526 146251 167144 231052 292502 404341 462104 585004 808682 981971 1170008 1617364 1963942 3234728 3927884 6873797 7855768 13747594 27495188 54990376