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53392032 = 2532672767
BaseRepresentation
bin1100101110101…
…1001010100000
310201110121002200
43023223022200
5102132021112
65144213200
71215552621
oct313531240
9121417080
1053392032
1128158251
1215a6a200
13b0a5325
14713ba48
154a49cdc
hex32eb2a0

53392032 has 72 divisors (see below), whose sum is σ = 154155456. Its totient is φ = 17525376.

The previous prime is 53392021. The next prime is 53392043. The reversal of 53392032 is 23029335.

It is an interprime number because it is at equal distance from previous prime (53392021) and next prime (53392043).

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 53391987 and 53392005.

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, 17913 + ... + 20679.

It is an arithmetic number, because the mean of its divisors is an integer number (2141048).

Almost surely, 253392032 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 53392032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77077728).

53392032 is an abundant number, since it is smaller than the sum of its proper divisors (100763424).

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

53392032 is a wasteful number, since it uses less digits than its factorization.

53392032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2850 (or 2839 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 53392032 is about 7306.9851512098. The cubic root of 53392032 is about 376.5524548218.

The spelling of 53392032 in words is "fifty-three million, three hundred ninety-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 67 72 96 134 144 201 268 288 402 536 603 804 1072 1206 1608 2144 2412 2767 3216 4824 5534 6432 8301 9648 11068 16602 19296 22136 24903 33204 44272 49806 66408 88544 99612 132816 185389 199224 265632 370778 398448 556167 741556 796896 1112334 1483112 1668501 2224668 2966224 3337002 4449336 5932448 6674004 8898672 13348008 17797344 26696016 53392032