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52958416 = 2472312179
BaseRepresentation
bin1100101000000…
…1010011010000
310200122120021211
43022001103100
5102024132131
65131025504
71212065500
oct312012320
9120576254
1052958416
1127991495
121589b294
13ac82b54
147067a00
1549b15b1
hex32814d0

52958416 has 60 divisors (see below), whose sum is σ = 123265920. Its totient is φ = 21954240.

The previous prime is 52958407. The next prime is 52958461. The reversal of 52958416 is 61485925.

It is a congruent number.

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, 23215 + ... + 25393.

It is an arithmetic number, because the mean of its divisors is an integer number (2054432).

Almost surely, 252958416 is an apocalyptic number.

52958416 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 52958416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61632960).

52958416 is an abundant number, since it is smaller than the sum of its proper divisors (70307504).

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

52958416 is a wasteful number, since it uses less digits than its factorization.

52958416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2232 (or 2219 counting only the distinct ones).

The product of its digits is 86400, while the sum is 40.

The square root of 52958416 is about 7277.2533280078. The cubic root of 52958416 is about 375.5303098519.

The spelling of 52958416 in words is "fifty-two million, nine hundred fifty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 31 49 56 62 98 112 124 196 217 248 392 434 496 784 868 1519 1736 2179 3038 3472 4358 6076 8716 12152 15253 17432 24304 30506 34864 61012 67549 106771 122024 135098 213542 244048 270196 427084 472843 540392 854168 945686 1080784 1708336 1891372 3309901 3782744 6619802 7565488 13239604 26479208 52958416