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457380612 = 2232137989139
BaseRepresentation
bin11011010000110…
…001001100000100
31011212122100020200
4123100301030010
51414042134422
6113215130500
714222446113
oct3320611404
91155570220
10457380612
112151a7907
12109213a30
13739b2220
1444a5dc7a
152a24a2ac
hex1b431304

457380612 has 144 divisors (see below), whose sum is σ = 1284192000. Its totient is φ = 136401408.

The previous prime is 457380607. The next prime is 457380731. The reversal of 457380612 is 216083754.

457380612 is a `hidden beast` number, since 4 + 5 + 7 + 38 + 0 + 612 = 666.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3290439 + ... + 3290577.

It is an arithmetic number, because the mean of its divisors is an integer number (8918000).

Almost surely, 2457380612 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 457380612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642096000).

457380612 is an abundant number, since it is smaller than the sum of its proper divisors (826811388).

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

457380612 is a wasteful number, since it uses less digits than its factorization.

457380612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 325 counting only the distinct ones).

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

The square root of 457380612 is about 21386.4586128700. The cubic root of 457380612 is about 770.4762399357.

The spelling of 457380612 in words is "four hundred fifty-seven million, three hundred eighty thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 79 89 117 139 156 158 178 234 237 267 278 316 356 417 468 474 534 556 711 801 834 948 1027 1068 1157 1251 1422 1602 1668 1807 2054 2314 2502 2844 3081 3204 3471 3614 4108 4628 5004 5421 6162 6942 7031 7228 9243 10413 10842 10981 12324 12371 13884 14062 16263 18486 20826 21093 21684 21962 24742 28124 32526 32943 36972 37113 41652 42186 43924 49484 63279 65052 65886 74226 84372 91403 98829 111339 126558 131772 142753 148452 160823 182806 197658 222678 253116 274209 285506 321646 365612 395316 428259 445356 482469 548418 571012 643292 822627 856518 964938 977309 1096836 1284777 1447407 1645254 1713036 1929876 1954618 2569554 2894814 2931927 3290508 3909236 5139108 5789628 5863854 8795781 11727708 12705017 17591562 25410034 35183124 38115051 50820068 76230102 114345153 152460204 228690306 457380612