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52602480 = 243357371
BaseRepresentation
bin1100100010101…
…0011001110000
310122222111001000
43020222121300
5101431234410
65115242000
71206054000
oct310523160
9118874030
1052602480
1127769027
1215749300
13ab89b38
146db4000
154940dc0
hex322a670

52602480 has 320 divisors, whose sum is σ = 214272000. Its totient is φ = 11854080.

The previous prime is 52602479. The next prime is 52602481. The reversal of 52602480 is 8420625.

52602480 is a `hidden beast` number, since 52 + 602 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (52602479) and next prime (52602481).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52602481) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 740845 + ... + 740915.

It is an arithmetic number, because the mean of its divisors is an integer number (669600).

Almost surely, 252602480 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 52602480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107136000).

52602480 is an abundant number, since it is smaller than the sum of its proper divisors (161669520).

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

52602480 is a wasteful number, since it uses less digits than its factorization.

52602480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 88 counting only the distinct ones).

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

The square root of 52602480 is about 7252.7567172765. The cubic root of 52602480 is about 374.6870989872.

The spelling of 52602480 in words is "fifty-two million, six hundred two thousand, four hundred eighty".