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655764480 = 210325719107
BaseRepresentation
bin100111000101100…
…010110000000000
31200200221021202100
4213011202300000
52320333430410
6145023150400
722151622540
oct4705426000
91620837670
10655764480
11307186618
12163745400
13a5b21a27
1463141320
153c8858c0
hex27162c00

655764480 has 528 divisors, whose sum is σ = 2759028480. Its totient is φ = 140673024.

The previous prime is 655764479. The next prime is 655764481. The reversal of 655764480 is 84467556.

655764480 is a `hidden beast` number, since 65 + 57 + 64 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (655764479) and next prime (655764481).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (655764481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6128587 + ... + 6128693.

Almost surely, 2655764480 is an apocalyptic number.

655764480 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 655764480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379514240).

655764480 is an abundant number, since it is smaller than the sum of its proper divisors (2103264000).

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

655764480 is a wasteful number, since it uses less digits than its factorization.

655764480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 655764480 is about 25607.8987814307. The cubic root of 655764480 is about 868.7922997191.

The spelling of 655764480 in words is "six hundred fifty-five million, seven hundred sixty-four thousand, four hundred eighty".