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53678352 = 24371312289
BaseRepresentation
bin1100110011000…
…1000100010000
310202000010212010
43030301010100
5102220201402
65154302520
71221154440
oct314610420
9122003763
1053678352
1128333382
1215b87a40
13b175750
1471b4120
154aa4a6c
hex3331110

53678352 has 80 divisors (see below), whose sum is σ = 170683520. Its totient is φ = 14155776.

The previous prime is 53678327. The next prime is 53678357. The reversal of 53678352 is 25387635.

53678352 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 53678352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53678357) 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, 1777 + ... + 10512.

It is an arithmetic number, because the mean of its divisors is an integer number (2133544).

Almost surely, 253678352 is an apocalyptic number.

53678352 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 53678352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85341760).

53678352 is an abundant number, since it is smaller than the sum of its proper divisors (117005168).

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

53678352 is a wasteful number, since it uses less digits than its factorization.

53678352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12320 (or 12314 counting only the distinct ones).

The product of its digits is 151200, while the sum is 39.

The square root of 53678352 is about 7326.5511668179. The cubic root of 53678352 is about 377.2243550100.

The spelling of 53678352 in words is "fifty-three million, six hundred seventy-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 4368 12289 24578 36867 49156 73734 86023 98312 147468 159757 172046 196624 258069 294936 319514 344092 479271 516138 589872 639028 688184 958542 1032276 1118299 1278056 1376368 1917084 2064552 2236598 2556112 3354897 3834168 4129104 4473196 6709794 7668336 8946392 13419588 17892784 26839176 53678352