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55890576 = 243272892
BaseRepresentation
bin1101010100110…
…1001010010000
310220011112110100
43111031022100
5103301444301
65313532400
71246030200
oct325151220
9126145410
1055890576
1129604465
1216874100
13b76b661
1475cc400
154d90286
hex354d290

55890576 has 135 divisors (see below), whose sum is σ = 184020681. Its totient is φ = 15789312.

The previous prime is 55890563. The next prime is 55890599. The reversal of 55890576 is 67509855.

The square root of 55890576 is 7476.

It is a perfect power (a square), and thus also a powerful number.

55890576 is a `hidden beast` number, since 558 + 90 + 5 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10732176 + 45158400 = 3276^2 + 6720^2 .

It is a super-2 number, since 2×558905762 = 6247512971223552, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 627940 + ... + 628028.

Almost surely, 255890576 is an apocalyptic number.

55890576 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

55890576 is the 7476-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55890576

55890576 is an abundant number, since it is smaller than the sum of its proper divisors (128130105).

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

55890576 is a wasteful number, since it uses less digits than its factorization.

55890576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The cubic root of 55890576 is about 382.3368829028.

The spelling of 55890576 in words is "fifty-five million, eight hundred ninety thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 89 98 112 126 144 147 168 178 196 252 267 294 336 356 392 441 504 534 588 623 712 784 801 882 1008 1068 1176 1246 1424 1602 1764 1869 2136 2352 2492 3204 3528 3738 4272 4361 4984 5607 6408 7056 7476 7921 8722 9968 11214 12816 13083 14952 15842 17444 22428 23763 26166 29904 31684 34888 39249 44856 47526 52332 55447 63368 69776 71289 78498 89712 95052 104664 110894 126736 142578 156996 166341 190104 209328 221788 285156 313992 332682 380208 388129 443576 499023 570312 627984 665364 776258 887152 998046 1140624 1164387 1330728 1552516 1996092 2328774 2661456 3105032 3493161 3992184 4657548 6210064 6986322 7984368 9315096 13972644 18630192 27945288 55890576