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55467648 = 273289541
BaseRepresentation
bin1101001110010…
…1111010000000
310212101001022100
43103211322000
5103144431043
65300510400
71242316155
oct323457200
9125331270
1055467648
1129345735
12166ab400
13b650cc2
14751c22c
154d09cd3
hex34e5e80

55467648 has 96 divisors (see below), whose sum is σ = 161705700. Its totient is φ = 18247680.

The previous prime is 55467647. The next prime is 55467667. The reversal of 55467648 is 84676455.

It can be written as a sum of positive squares in 2 ways, for example, as 52881984 + 2585664 = 7272^2 + 1608^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (55467641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102258 + ... + 102798.

Almost surely, 255467648 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 55467648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80852850).

55467648 is an abundant number, since it is smaller than the sum of its proper divisors (106238052).

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

55467648 is a wasteful number, since it uses less digits than its factorization.

55467648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 635 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 55467648 is about 7447.6605722871. The cubic root of 55467648 is about 381.3700498767.

The spelling of 55467648 in words is "fifty-five million, four hundred sixty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 89 96 128 144 178 192 267 288 356 384 534 541 576 712 801 1068 1082 1152 1424 1602 1623 2136 2164 2848 3204 3246 4272 4328 4869 5696 6408 6492 8544 8656 9738 11392 12816 12984 17088 17312 19476 25632 25968 34176 34624 38952 48149 51264 51936 69248 77904 96298 102528 103872 144447 155808 192596 207744 288894 311616 385192 433341 577788 623232 770384 866682 1155576 1540768 1733364 2311152 3081536 3466728 4622304 6163072 6933456 9244608 13866912 18489216 27733824 55467648