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642274560 = 28325127439
BaseRepresentation
bin100110010010000…
…101010100000000
31122202112221001200
4212102011110000
52303410241220
6143422101200
721626146404
oct4622052400
91582487050
10642274560
112aa602424
1215b11a800
13a30aa825
146142d104
153b5bd890
hex26485500

642274560 has 216 divisors, whose sum is σ = 2244802560. Its totient is φ = 169537536.

The previous prime is 642274559. The next prime is 642274561. The reversal of 642274560 is 65472246.

642274560 is a `hidden beast` number, since 6 + 4 + 22 + 74 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (642274559) and next prime (642274561).

It is a super-2 number, since 2×6422745602 = 825033220846387200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642274561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1462821 + ... + 1463259.

Almost surely, 2642274560 is an apocalyptic number.

642274560 is a gapful number since it is divisible by the number (60) 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 642274560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122401280).

642274560 is an abundant number, since it is smaller than the sum of its proper divisors (1602528000).

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

642274560 is a wasteful number, since it uses less digits than its factorization.

642274560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 642274560 is about 25343.1363489210. The cubic root of 642274560 is about 862.7935837365.

The spelling of 642274560 in words is "six hundred forty-two million, two hundred seventy-four thousand, five hundred sixty".