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55654956 = 223273747127
BaseRepresentation
bin1101010001001…
…1101000101100
310212201120020200
43110103220230
5103221424311
65304513500
71244026230
oct324235054
9125646220
1055654956
1129463435
121677b890
13b6b8336
14756a5c0
154d45556
hex3513a2c

55654956 has 144 divisors (see below), whose sum is σ = 169967616. Its totient is φ = 15023232.

The previous prime is 55654931. The next prime is 55654961. The reversal of 55654956 is 65945655.

55654956 is a `hidden beast` number, since 5 + 56 + 549 + 56 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 438165 + ... + 438291.

Almost surely, 255654956 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 55654956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84983808).

55654956 is an abundant number, since it is smaller than the sum of its proper divisors (114312660).

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

55654956 is a wasteful number, since it uses less digits than its factorization.

55654956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 223 counting only the distinct ones).

The product of its digits is 810000, while the sum is 45.

The square root of 55654956 is about 7460.2249295849. The cubic root of 55654956 is about 381.7988488047.

The spelling of 55654956 in words is "fifty-five million, six hundred fifty-four thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 47 63 74 84 94 111 126 127 141 148 188 222 252 254 259 282 329 333 381 423 444 508 518 564 658 666 762 777 846 889 987 1036 1143 1316 1332 1524 1554 1692 1739 1778 1974 2286 2331 2667 2961 3108 3478 3556 3948 4572 4662 4699 5217 5334 5922 5969 6956 8001 9324 9398 10434 10668 11844 11938 12173 14097 15651 16002 17907 18796 20868 23876 24346 28194 31302 32004 32893 35814 36519 41783 42291 48692 53721 56388 62604 65786 71628 73038 83566 84582 98679 107442 109557 125349 131572 146076 167132 169164 197358 214884 219114 220853 250698 296037 376047 394716 438228 441706 501396 592074 662559 752094 883412 1184148 1325118 1504188 1545971 1987677 2650236 3091942 3975354 4637913 6183884 7950708 9275826 13913739 18551652 27827478 55654956