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53114376 = 2337409773
BaseRepresentation
bin1100101010011…
…1011000001000
310200221111020010
43022213120020
5102044130001
65134231520
71213315260
oct312473010
9120844203
1053114376
1127a88687
12159555a0
13b008b33
1470a87a0
1549e28d6
hex32a7608

53114376 has 64 divisors (see below), whose sum is σ = 152323200. Its totient is φ = 15118848.

The previous prime is 53114353. The next prime is 53114419. The reversal of 53114376 is 67341135.

It is a super-2 number, since 2×531143762 = 5642273875738752, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68326 + ... + 69098.

It is an arithmetic number, because the mean of its divisors is an integer number (2380050).

Almost surely, 253114376 is an apocalyptic number.

53114376 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 53114376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76161600).

53114376 is an abundant number, since it is smaller than the sum of its proper divisors (99208824).

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

53114376 is a wasteful number, since it uses less digits than its factorization.

53114376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1194 counting only the distinct ones).

The product of its digits is 7560, while the sum is 30.

The square root of 53114376 is about 7287.9610317290. The cubic root of 53114376 is about 375.8985881627.

The spelling of 53114376 in words is "fifty-three million, one hundred fourteen thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 409 773 818 1227 1546 1636 2319 2454 2863 3092 3272 4638 4908 5411 5726 6184 8589 9276 9816 10822 11452 16233 17178 18552 21644 22904 32466 34356 43288 64932 68712 129864 316157 632314 948471 1264628 1896942 2213099 2529256 3793884 4426198 6639297 7587768 8852396 13278594 17704792 26557188 53114376