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53107776 = 2632137673
BaseRepresentation
bin1100101010010…
…1110001000000
310200221011011200
43022211301000
5102043422101
65134141200
71213260111
oct312456100
9120834150
1053107776
1127a83727
1215951800
13b005b27
1470a6208
1549e0986
hex32a5c40

53107776 has 84 divisors (see below), whose sum is σ = 153562812. Its totient is φ = 17547264.

The previous prime is 53107763. The next prime is 53107781. The reversal of 53107776 is 67770135.

It can be written as a sum of positive squares in 2 ways, for example, as 24206400 + 28901376 = 4920^2 + 5376^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 53107776.

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, 78576 + ... + 79248.

Almost surely, 253107776 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 53107776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76781406).

53107776 is an abundant number, since it is smaller than the sum of its proper divisors (100455036).

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

53107776 is a wasteful number, since it uses less digits than its factorization.

53107776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 30870, while the sum is 36.

The square root of 53107776 is about 7287.5082161189. The cubic root of 53107776 is about 375.8830177802.

The spelling of 53107776 in words is "fifty-three million, one hundred seven thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 137 144 192 274 288 411 548 576 673 822 1096 1233 1346 1644 2019 2192 2466 2692 3288 4038 4384 4932 5384 6057 6576 8076 8768 9864 10768 12114 13152 16152 19728 21536 24228 26304 32304 39456 43072 48456 64608 78912 92201 96912 129216 184402 193824 276603 368804 387648 553206 737608 829809 1106412 1475216 1659618 2212824 2950432 3319236 4425648 5900864 6638472 8851296 13276944 17702592 26553888 53107776