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54930072 = 23323191521
BaseRepresentation
bin1101000110001…
…0101010011000
310211100201220010
43101202222120
5103030230242
65241201520
71234616661
oct321425230
9124321803
1054930072
112900885a
12164902a0
13b4c3402
14741c368
154c5089c
hex3462a98

54930072 has 64 divisors (see below), whose sum is σ = 144322560. Its totient is φ = 17388800.

The previous prime is 54930067. The next prime is 54930079. The reversal of 54930072 is 27003945.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54930079) 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, 105172 + ... + 105692.

It is an arithmetic number, because the mean of its divisors is an integer number (2255040).

Almost surely, 254930072 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 54930072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72161280).

54930072 is an abundant number, since it is smaller than the sum of its proper divisors (89392488).

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

54930072 is a wasteful number, since it uses less digits than its factorization.

54930072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 54930072 is about 7411.4824428045. The cubic root of 54930072 is about 380.1340062923.

The spelling of 54930072 in words is "fifty-four million, nine hundred thirty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 191 276 382 521 552 573 764 1042 1146 1528 1563 2084 2292 3126 4168 4393 4584 6252 8786 11983 12504 13179 17572 23966 26358 35144 35949 47932 52716 71898 95864 99511 105432 143796 199022 287592 298533 398044 597066 796088 1194132 2288753 2388264 4577506 6866259 9155012 13732518 18310024 27465036 54930072