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54992016 = 24323197127
BaseRepresentation
bin1101000111000…
…1110010010000
310211110212212100
43101301302100
5103034221031
65242400400
71235265402
oct321616220
9124425770
1054992016
1129050352
1216500100
13b515671
147436b72
154c63de6
hex3471c90

54992016 has 120 divisors (see below), whose sum is σ = 161767424. Its totient is φ = 17418240.

The previous prime is 54991999. The next prime is 54992039. The reversal of 54992016 is 61029945.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 432945 + ... + 433071.

Almost surely, 254992016 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 54992016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80883712).

54992016 is an abundant number, since it is smaller than the sum of its proper divisors (106775408).

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

54992016 is a wasteful number, since it uses less digits than its factorization.

54992016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 54992016 is about 7415.6601863893. The cubic root of 54992016 is about 380.2768435054.

The spelling of 54992016 in words is "fifty-four million, nine hundred ninety-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 97 124 127 144 186 194 248 254 279 291 372 381 388 496 508 558 582 744 762 776 873 1016 1116 1143 1164 1488 1524 1552 1746 2032 2232 2286 2328 3007 3048 3492 3937 4464 4572 4656 6014 6096 6984 7874 9021 9144 11811 12028 12319 13968 15748 18042 18288 23622 24056 24638 27063 31496 35433 36084 36957 47244 48112 49276 54126 62992 70866 72168 73914 94488 98552 108252 110871 141732 144336 147828 188976 197104 216504 221742 283464 295656 381889 433008 443484 566928 591312 763778 886968 1145667 1527556 1773936 2291334 3055112 3437001 4582668 6110224 6874002 9165336 13748004 18330672 27496008 54992016