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53412480 = 2733511281
BaseRepresentation
bin1100101111000…
…0001010000000
310201111122011000
43023300022000
5102133144410
65144452000
71215666342
oct313601200
9121448130
1053412480
1128171650
1215a7a000
13b0b1724
147145292
154a50dc0
hex32f0280

53412480 has 256 divisors, whose sum is σ = 207100800. Its totient is φ = 12902400.

The previous prime is 53412449. The next prime is 53412503. The reversal of 53412480 is 8421435.

53412480 is a `hidden beast` number, since 534 + 124 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189940 + ... + 190220.

Almost surely, 253412480 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 53412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103550400).

53412480 is an abundant number, since it is smaller than the sum of its proper divisors (153688320).

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

53412480 is a wasteful number, since it uses less digits than its factorization.

53412480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 53412480 is about 7308.3842263526. The cubic root of 53412480 is about 376.6005191838.

The spelling of 53412480 in words is "fifty-three million, four hundred twelve thousand, four hundred eighty".