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54882906 = 231319291277
BaseRepresentation
bin1101000101011…
…1001001011010
310211021100012020
43101113021122
5103022223111
65240155310
71234332321
oct321271132
9124240166
1054882906
1128a86381
1216468b36
13b4a7ac0
1474090b8
154c41906
hex345725a

54882906 has 64 divisors (see below), whose sum is σ = 128822400. Its totient is φ = 15434496.

The previous prime is 54882871. The next prime is 54882911. The reversal of 54882906 is 60928845.

54882906 = T340 + T341 + ... + T716.

54882906 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 42340 + ... + 43616.

It is an arithmetic number, because the mean of its divisors is an integer number (2012850).

Almost surely, 254882906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54882906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64411200).

54882906 is an abundant number, since it is smaller than the sum of its proper divisors (73939494).

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

54882906 is a wasteful number, since it uses less digits than its factorization.

54882906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343.

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 54882906 is about 7408.2998049485. The cubic root of 54882906 is about 380.0251737709.

The spelling of 54882906 in words is "fifty-four million, eight hundred eighty-two thousand, nine hundred six".

Divisors: 1 2 3 6 13 19 26 29 38 39 57 58 78 87 114 174 247 377 494 551 741 754 1102 1131 1277 1482 1653 2262 2554 3306 3831 7163 7662 14326 16601 21489 24263 33202 37033 42978 48526 49803 72789 74066 99606 111099 145578 222198 315419 481429 630838 703627 946257 962858 1407254 1444287 1892514 2110881 2888574 4221762 9147151 18294302 27441453 54882906