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55880496 = 24337171087
BaseRepresentation
bin1101010100101…
…0101100110000
310220011000122000
43111022230300
5103301133441
65313414000
71245655620
oct325125460
9126130560
1055880496
11295a7931
121686a300
13b766ba9
1475c8880
154d8c2b6
hex354ab30

55880496 has 160 divisors (see below), whose sum is σ = 194273280. Its totient is φ = 15012864.

The previous prime is 55880459. The next prime is 55880543. The reversal of 55880496 is 69408855.

55880496 is a `hidden beast` number, since 558 + 8 + 0 + 4 + 96 = 666.

It is a congruent number.

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, 50865 + ... + 51951.

It is an arithmetic number, because the mean of its divisors is an integer number (1214208).

Almost surely, 255880496 is an apocalyptic number.

55880496 is a gapful number since it is divisible by the number (56) 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 55880496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97136640).

55880496 is an abundant number, since it is smaller than the sum of its proper divisors (138392784).

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

55880496 is a wasteful number, since it uses less digits than its factorization.

55880496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 55880496 is about 7475.3258122974. The cubic root of 55880496 is about 382.3138963949.

The spelling of 55880496 in words is "fifty-five million, eight hundred eighty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 34 36 42 48 51 54 56 63 68 72 84 102 108 112 119 126 136 144 153 168 189 204 216 238 252 272 306 336 357 378 408 432 459 476 504 612 714 756 816 918 952 1008 1071 1087 1224 1428 1512 1836 1904 2142 2174 2448 2856 3024 3213 3261 3672 4284 4348 5712 6426 6522 7344 7609 8568 8696 9783 12852 13044 15218 17136 17392 18479 19566 22827 25704 26088 29349 30436 36958 39132 45654 51408 52176 55437 58698 60872 68481 73916 78264 91308 110874 117396 121744 129353 136962 147832 156528 166311 182616 205443 221748 234792 258706 273924 295664 332622 365232 388059 410886 443496 469584 498933 517412 547848 665244 776118 821772 886992 997866 1034824 1095696 1164177 1330488 1552236 1643544 1995732 2069648 2328354 2660976 3104472 3287088 3492531 3991464 4656708 6208944 6985062 7982928 9313416 13970124 18626832 27940248 55880496