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54561276 = 22311711
BaseRepresentation
bin1101000000100…
…0100111111100
310210200000000000
43100020213330
5102431430101
65225234300
71231522530
oct320104774
9123600000
1054561276
1128886770
1216332990
13b3c45a3
147363bc0
154bcb486
hex34089fc

54561276 has 144 divisors (see below), whose sum is σ = 178563840. Its totient is φ = 14171760.

The previous prime is 54561257. The next prime is 54561277. The reversal of 54561276 is 67216545.

It is a happy number.

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

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 54561276.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54561277) 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, 4960111 + ... + 4960121.

Almost surely, 254561276 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 54561276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89281920).

54561276 is an abundant number, since it is smaller than the sum of its proper divisors (124002564).

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

54561276 is an equidigital number, since it uses as much as digits as its factorization.

54561276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 23 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 54561276 is about 7386.5604986353. The cubic root of 54561276 is about 379.2813657317.

The spelling of 54561276 in words is "fifty-four million, five hundred sixty-one thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 81 84 99 108 126 132 154 162 189 198 231 243 252 297 308 324 378 396 462 486 567 594 693 729 756 891 924 972 1134 1188 1386 1458 1701 1782 2079 2187 2268 2673 2772 2916 3402 3564 4158 4374 5103 5346 6237 6561 6804 8019 8316 8748 10206 10692 12474 13122 15309 16038 18711 19683 20412 24057 24948 26244 30618 32076 37422 39366 45927 48114 56133 59049 61236 72171 74844 78732 91854 96228 112266 118098 137781 144342 168399 177147 183708 216513 224532 236196 275562 288684 336798 354294 413343 433026 505197 551124 649539 673596 708588 826686 866052 1010394 1240029 1299078 1515591 1653372 1948617 2020788 2480058 2598156 3031182 3897234 4546773 4960116 6062364 7794468 9093546 13640319 18187092 27280638 54561276