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53074336 = 257415779
BaseRepresentation
bin1100101001110…
…1100110100000
310200212110022011
43022131212200
5102041334321
65133322304
71213060450
oct312354640
9120773264
1053074336
1127a60597
1215936394
13acc3843
147097d60
1549d5ae1
hex329d9a0

53074336 has 48 divisors (see below), whose sum is σ = 122351040. Its totient is φ = 22187520.

The previous prime is 53074319. The next prime is 53074337. The reversal of 53074336 is 63347035.

It is a junction number, because it is equal to n+sod(n) for n = 53074298 and 53074307.

It is not an unprimeable number, because it can be changed into a prime (53074337) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6295 + ... + 12073.

It is an arithmetic number, because the mean of its divisors is an integer number (2548980).

Almost surely, 253074336 is an apocalyptic number.

53074336 is a gapful number since it is divisible by the number (56) 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 53074336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61175520).

53074336 is an abundant number, since it is smaller than the sum of its proper divisors (69276704).

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

53074336 is a wasteful number, since it uses less digits than its factorization.

53074336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5837 (or 5829 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 31.

The square root of 53074336 is about 7285.2135178044. The cubic root of 53074336 is about 375.8041080099.

The spelling of 53074336 in words is "fifty-three million, seventy-four thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 82 112 164 224 287 328 574 656 1148 1312 2296 4592 5779 9184 11558 23116 40453 46232 80906 92464 161812 184928 236939 323624 473878 647248 947756 1294496 1658573 1895512 3317146 3791024 6634292 7582048 13268584 26537168 53074336