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580361472 = 2832251893
BaseRepresentation
bin100010100101111…
…001110100000000
31111110001102021100
4202211321310000
52142033031342
6133331054400
720244663645
oct4245716400
91443042240
10580361472
11278665189
12142441400
1393310b72
1457113dcc
1535e3de4c
hex22979d00

580361472 has 54 divisors (see below), whose sum is σ = 1673331842. Its totient is φ = 193453056.

The previous prime is 580361449. The next prime is 580361513. The reversal of 580361472 is 274163085.

580361472 is a `hidden beast` number, since 580 + 3 + 6 + 1 + 4 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 526427136 + 53934336 = 22944^2 + 7344^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 123643 + ... + 128250.

Almost surely, 2580361472 is an apocalyptic number.

It is an amenable number.

580361472 is an abundant number, since it is smaller than the sum of its proper divisors (1092970370).

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

580361472 is a wasteful number, since it uses less digits than its factorization.

580361472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251915 (or 251898 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 580361472 is about 24090.6926425954. The cubic root of 580361472 is about 834.1283035013.

The spelling of 580361472 in words is "five hundred eighty million, three hundred sixty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 251893 503786 755679 1007572 1511358 2015144 2267037 3022716 4030288 4534074 6045432 8060576 9068148 12090864 16121152 18136296 24181728 32242304 36272592 48363456 64484608 72545184 96726912 145090368 193453824 290180736 580361472