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55650816 = 293213929
BaseRepresentation
bin1101010001001…
…0101000000000
310212201100120100
43110102220000
5103221311231
65304442400
71244011164
oct324225000
9125640510
1055650816
1129460311
1216779400
13b6b64a0
147568ca4
154d441e6
hex3512a00

55650816 has 120 divisors (see below), whose sum is σ = 173152980. Its totient is φ = 17104896.

The previous prime is 55650781. The next prime is 55650827. The reversal of 55650816 is 61805655.

It can be written as a sum of positive squares in 2 ways, for example, as 41990400 + 13660416 = 6480^2 + 3696^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59440 + ... + 60368.

Almost surely, 255650816 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 55650816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86576490).

55650816 is an abundant number, since it is smaller than the sum of its proper divisors (117502164).

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

55650816 is a wasteful number, since it uses less digits than its factorization.

55650816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 55650816 is about 7459.9474528980. The cubic root of 55650816 is about 381.7893816248.

The spelling of 55650816 in words is "fifty-five million, six hundred fifty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 929 936 1152 1248 1536 1664 1858 1872 2304 2496 2787 3328 3716 3744 4608 4992 5574 6656 7432 7488 8361 9984 11148 12077 14864 14976 16722 19968 22296 24154 29728 29952 33444 36231 44592 48308 59456 59904 66888 72462 89184 96616 108693 118912 133776 144924 178368 193232 217386 237824 267552 289848 356736 386464 434772 475648 535104 579696 713472 772928 869544 1070208 1159392 1426944 1545856 1739088 2140416 2318784 3091712 3478176 4280832 4637568 6183424 6956352 9275136 13912704 18550272 27825408 55650816