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54665472 = 283175379
BaseRepresentation
bin1101000010001…
…0000100000000
310210212021221010
43100202010000
5102443243342
65231400520
71232435361
oct320420400
9123767833
1054665472
1128947a84
1216383140
13b42cb44
14738db68
154bec29c
hex3422100

54665472 has 144 divisors (see below), whose sum is σ = 158941440. Its totient is φ = 16613376.

The previous prime is 54665467. The next prime is 54665483. The reversal of 54665472 is 27456645.

Its product of digits (201600) is a multiple of the sum of its prime factors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 54665472.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 691929 + ... + 692007.

It is an arithmetic number, because the mean of its divisors is an integer number (1103760).

Almost surely, 254665472 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 54665472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79470720).

54665472 is an abundant number, since it is smaller than the sum of its proper divisors (104275968).

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

54665472 is a wasteful number, since it uses less digits than its factorization.

54665472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 154 counting only the distinct ones).

The product of its digits is 201600, while the sum is 39.

The square root of 54665472 is about 7393.6102142323. The cubic root of 54665472 is about 379.5226508445.

The spelling of 54665472 in words is "fifty-four million, six hundred sixty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 53 64 68 79 96 102 106 128 136 158 159 192 204 212 237 256 272 316 318 384 408 424 474 544 632 636 768 816 848 901 948 1088 1264 1272 1343 1632 1696 1802 1896 2176 2528 2544 2686 2703 3264 3392 3604 3792 4029 4187 4352 5056 5088 5372 5406 6528 6784 7208 7584 8058 8374 10112 10176 10744 10812 12561 13056 13568 14416 15168 16116 16748 20224 20352 21488 21624 25122 28832 30336 32232 33496 40704 42976 43248 50244 57664 60672 64464 66992 71179 85952 86496 100488 115328 128928 133984 142358 171904 172992 200976 213537 230656 257856 267968 284716 343808 345984 401952 427074 515712 535936 569432 691968 803904 854148 1031424 1071872 1138864 1607808 1708296 2277728 3215616 3416592 4555456 6833184 9110912 13666368 18221824 27332736 54665472