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53156480 = 275136389
BaseRepresentation
bin1100101011000…
…1101010000000
310201000121222112
43022301222000
5102102001410
65135154452
71213552106
oct312615200
9121017875
1053156480
1128007283
1215975a28
13b022050
1470b9c76
154a00105
hex32b1a80

53156480 has 64 divisors (see below), whose sum is σ = 136873800. Its totient is φ = 19623936.

The previous prime is 53156479. The next prime is 53156497. The reversal of 53156480 is 8465135.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 14318656 + 38837824 = 3784^2 + 6232^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×531564803 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 5126 + ... + 11514.

Almost surely, 253156480 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 53156480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68436900).

53156480 is an abundant number, since it is smaller than the sum of its proper divisors (83717320).

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

53156480 is a wasteful number, since it uses less digits than its factorization.

53156480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6421 (or 6409 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 53156480 is about 7290.8490589231. The cubic root of 53156480 is about 375.9978874183.

The spelling of 53156480 in words is "fifty-three million, one hundred fifty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 4160 6389 8320 12778 25556 31945 51112 63890 83057 102224 127780 166114 204448 255560 332228 408896 415285 511120 664456 817792 830570 1022240 1328912 1661140 2044480 2657824 3322280 4088960 5315648 6644560 10631296 13289120 26578240 53156480