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54693288 = 23321371823
BaseRepresentation
bin1101000010100…
…0110110101000
310210220201002100
43100220312220
5103000141123
65232133400
71232612436
oct320506650
9123821070
1054693288
1128966971
1216397260
13b43c6c0
147399d56
154c05643
hex3428da8

54693288 has 96 divisors (see below), whose sum is σ = 161965440. Its totient is φ = 16571520.

The previous prime is 54693227. The next prime is 54693293. The reversal of 54693288 is 88239645.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 66045 + ... + 66867.

It is an arithmetic number, because the mean of its divisors is an integer number (1687140).

Almost surely, 254693288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54693288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80982720).

54693288 is an abundant number, since it is smaller than the sum of its proper divisors (107272152).

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

54693288 is a wasteful number, since it uses less digits than its factorization.

54693288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 912 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 54693288 is about 7395.4910587465. The cubic root of 54693288 is about 379.5870120802.

The spelling of 54693288 in words is "fifty-four million, six hundred ninety-three thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 71 72 78 104 117 142 156 213 234 284 312 426 468 568 639 823 852 923 936 1278 1646 1704 1846 2469 2556 2769 3292 3692 4938 5112 5538 6584 7384 7407 8307 9876 10699 11076 14814 16614 19752 21398 22152 29628 32097 33228 42796 58433 59256 64194 66456 85592 96291 116866 128388 175299 192582 233732 256776 350598 385164 467464 525897 701196 759629 770328 1051794 1402392 1519258 2103588 2278887 3038516 4207176 4557774 6077032 6836661 9115548 13673322 18231096 27346644 54693288