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54792972 = 223213177197
BaseRepresentation
bin1101000100000…
…1001100001100
310211002202211100
43101001030030
5103011333342
65234223100
71233506163
oct321011414
9124082740
1054792972
1128a24853
1216424a90
13b475ba0
1473c43da
154c24e4c
hex344130c

54792972 has 144 divisors (see below), whose sum is σ = 161808192. Its totient is φ = 15482880.

The previous prime is 54792943. The next prime is 54792973. The reversal of 54792972 is 27929745.

It is not an unprimeable number, because it can be changed into a prime (54792973) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 564828 + ... + 564924.

It is an arithmetic number, because the mean of its divisors is an integer number (1123668).

Almost surely, 254792972 is an apocalyptic number.

54792972 is a gapful number since it is divisible by the number (52) 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 54792972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80904096).

54792972 is an abundant number, since it is smaller than the sum of its proper divisors (107015220).

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

54792972 is a wasteful number, since it uses less digits than its factorization.

54792972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 203 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 54792972 is about 7402.2275025833. The cubic root of 54792972 is about 379.8174839110.

The spelling of 54792972 in words is "fifty-four million, seven hundred ninety-two thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 71 78 97 102 117 142 153 156 194 204 213 221 234 284 291 306 388 426 442 468 582 612 639 663 852 873 884 923 1164 1207 1261 1278 1326 1649 1746 1846 1989 2414 2522 2556 2652 2769 3298 3492 3621 3692 3783 3978 4828 4947 5044 5538 6596 6887 7242 7566 7956 8307 9894 10863 11076 11349 13774 14484 14841 15132 15691 16614 19788 20661 21437 21726 22698 27548 29682 31382 33228 41322 42874 43452 45396 47073 59364 61983 62764 64311 82644 85748 89531 94146 117079 123966 128622 141219 179062 188292 192933 234158 247932 257244 268593 282438 351237 358124 385866 468316 537186 564876 702474 771732 805779 1053711 1074372 1404948 1522027 1611558 2107422 3044054 3223116 4214844 4566081 6088108 9132162 13698243 18264324 27396486 54792972