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664533072 = 243772713
BaseRepresentation
bin100111100110111…
…111100001010000
31201022102210000000
4213212333201100
52330110024242
6145535130000
722316303130
oct4746774120
91638383000
10664533072
11311125595
12166673900
13a78a1c48
1464384ac0
153d518a4c
hex279bf850

664533072 has 160 divisors (see below), whose sum is σ = 2207676160. Its totient is φ = 189796608.

The previous prime is 664533059. The next prime is 664533097. The reversal of 664533072 is 270335466.

664533072 is a `hidden beast` number, since 6 + 645 + 3 + 3 + 0 + 7 + 2 = 666.

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 31 ways as a sum of consecutive naturals, for example, 243588 + ... + 246300.

It is an arithmetic number, because the mean of its divisors is an integer number (13797976).

Almost surely, 2664533072 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 664533072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103838080).

664533072 is an abundant number, since it is smaller than the sum of its proper divisors (1543143088).

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

664533072 is an equidigital number, since it uses as much as digits as its factorization.

664533072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2749 (or 2725 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 664533072 is about 25778.5389810982. The cubic root of 664533072 is about 872.6475354707.

The spelling of 664533072 in words is "six hundred sixty-four million, five hundred thirty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 243 252 324 336 378 432 486 504 567 648 729 756 972 1008 1134 1296 1458 1512 1701 1944 2187 2268 2713 2916 3024 3402 3888 4374 4536 5103 5426 5832 6804 8139 8748 9072 10206 10852 11664 13608 15309 16278 17496 18991 20412 21704 24417 27216 30618 32556 34992 37982 40824 43408 48834 56973 61236 65112 73251 75964 81648 97668 113946 122472 130224 146502 151928 170919 195336 219753 227892 244944 293004 303856 341838 390672 439506 455784 512757 586008 659259 683676 879012 911568 1025514 1172016 1318518 1367352 1538271 1758024 1977777 2051028 2637036 2734704 3076542 3516048 3955554 4102056 4614813 5274072 5933331 6153084 7911108 8204112 9229626 10548144 11866662 12306168 13844439 15822216 18459252 23733324 24612336 27688878 31644432 36918504 41533317 47466648 55377756 73837008 83066634 94933296 110755512 166133268 221511024 332266536 664533072