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54574992 = 24331961109
BaseRepresentation
bin1101000000101…
…1111110010000
310210200200211000
43100023332100
5102432344432
65225422000
71231610523
oct320137620
9123620730
1054574992
1128895aaa
121633a900
13b3ca8c4
147368bba
154bd057c
hex340bf90

54574992 has 160 divisors (see below), whose sum is σ = 169136000. Its totient is φ = 16796160.

The previous prime is 54574987. The next prime is 54575033. The reversal of 54574992 is 29947545.

It is a super-3 number, since 3×545749923 (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 500634 + ... + 500742.

It is an arithmetic number, because the mean of its divisors is an integer number (1057100).

Almost surely, 254574992 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 54574992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84568000).

54574992 is an abundant number, since it is smaller than the sum of its proper divisors (114561008).

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

54574992 is a wasteful number, since it uses less digits than its factorization.

54574992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 194 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 54574992 is about 7387.4888832404. The cubic root of 54574992 is about 379.3131452142.

The spelling of 54574992 in words is "fifty-four million, five hundred seventy-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 61 72 76 108 109 114 122 144 152 171 183 216 218 228 244 304 327 342 366 432 436 456 488 513 549 654 684 732 872 912 976 981 1026 1098 1159 1308 1368 1464 1647 1744 1962 2052 2071 2196 2318 2616 2736 2928 2943 3294 3477 3924 4104 4142 4392 4636 5232 5886 6213 6588 6649 6954 7848 8208 8284 8784 9272 10431 11772 12426 13176 13298 13908 15696 16568 18544 18639 19947 20862 23544 24852 26352 26596 27816 31293 33136 37278 39894 41724 47088 49704 53192 55632 55917 59841 62586 74556 79788 83448 99408 106384 111834 119682 125172 126331 149112 159576 166896 179523 223668 239364 250344 252662 298224 319152 359046 378993 447336 478728 500688 505324 718092 757986 894672 957456 1010648 1136979 1436184 1515972 2021296 2273958 2872368 3031944 3410937 4547916 6063888 6821874 9095832 13643748 18191664 27287496 54574992