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55097664 = 263319257
BaseRepresentation
bin1101001000101…
…1100101000000
310211200020210020
43102023211000
5103101111124
65244533440
71236215406
oct322134500
9124606706
1055097664
1129112766
1216551280
13b55178b
147463476
154c85379
hex348b940

55097664 has 56 divisors (see below), whose sum is σ = 150498048. Its totient is φ = 17771520.

The previous prime is 55097657. The next prime is 55097717. The reversal of 55097664 is 46679055.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1324 + ... + 10580.

Almost surely, 255097664 is an apocalyptic number.

55097664 is the 3968-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55097664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75249024).

55097664 is an abundant number, since it is smaller than the sum of its proper divisors (95400384).

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

55097664 is a wasteful number, since it uses less digits than its factorization.

55097664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9303 (or 9293 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The square root of 55097664 is about 7422.7800721832. The cubic root of 55097664 is about 380.5202108798.

The spelling of 55097664 in words is "fifty-five million, ninety-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 992 1488 1984 2976 5952 9257 18514 27771 37028 55542 74056 111084 148112 222168 286967 296224 444336 573934 592448 860901 888672 1147868 1721802 1777344 2295736 3443604 4591472 6887208 9182944 13774416 18365888 27548832 55097664