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53703312 = 2431389967
BaseRepresentation
bin1100110011011…
…1001010010000
310202001102002120
43030313022100
5102222001222
65155014240
71221320265
oct314671220
9122042076
1053703312
1128350103
1215b9a380
13b183c10
1471bd26c
154aac15c
hex3337290

53703312 has 80 divisors (see below), whose sum is σ = 151240320. Its totient is φ = 16321536.

The previous prime is 53703311. The next prime is 53703337. The reversal of 53703312 is 21330735.

It is a super-3 number, since 3×537033123 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (53703311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55053 + ... + 56019.

It is an arithmetic number, because the mean of its divisors is an integer number (1890504).

Almost surely, 253703312 is an apocalyptic number.

53703312 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53703312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75620160).

53703312 is an abundant number, since it is smaller than the sum of its proper divisors (97537008).

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

53703312 is a wasteful number, since it uses less digits than its factorization.

53703312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 24.

The square root of 53703312 is about 7328.2543623976. The cubic root of 53703312 is about 377.2828147089.

The spelling of 53703312 in words is "fifty-three million, seven hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 89 104 156 178 208 267 312 356 534 624 712 967 1068 1157 1424 1934 2136 2314 2901 3471 3868 4272 4628 5802 6942 7736 9256 11604 12571 13884 15472 18512 23208 25142 27768 37713 46416 50284 55536 75426 86063 100568 150852 172126 201136 258189 301704 344252 516378 603408 688504 1032756 1118819 1377008 2065512 2237638 3356457 4131024 4475276 6712914 8950552 13425828 17901104 26851656 53703312