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53058240 = 263452389
BaseRepresentation
bin1100101001100…
…1101011000000
310200211122020000
43022121223000
5102040330430
65133120000
71212662514
oct312315300
9120748200
1053058240
1127a4a494
1215929000
13acb9411
147092144
1549d0e60
hex3299ac0

53058240 has 280 divisors, whose sum is σ = 199156320. Its totient is φ = 13381632.

The previous prime is 53058233. The next prime is 53058283. The reversal of 53058240 is 4285035.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 596116 + ... + 596204.

Almost surely, 253058240 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 53058240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99578160).

53058240 is an abundant number, since it is smaller than the sum of its proper divisors (146098080).

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

53058240 is a wasteful number, since it uses less digits than its factorization.

53058240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 53058240 is about 7284.1087306547. The cubic root of 53058240 is about 375.7661137866.

The spelling of 53058240 in words is "fifty-three million, fifty-eight thousand, two hundred forty".