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454545312 = 25313312379
BaseRepresentation
bin11011000101111…
…100111110100000
31011200022021221120
4123011330332200
51412330422222
6113034252240
714156366664
oct3305747640
91150267846
10454545312
11213640691
12108287080
137322b830
14445228a4
1529d8a15c
hex1b17cfa0

454545312 has 144 divisors (see below), whose sum is σ = 1331255520. Its totient is φ = 134991360.

The previous prime is 454545307. The next prime is 454545359. The reversal of 454545312 is 213545454.

It is a super-2 number, since 2×4545453122 = 413222881322354688, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1199139 + ... + 1199517.

It is an arithmetic number, because the mean of its divisors is an integer number (9244830).

Almost surely, 2454545312 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 454545312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665627760).

454545312 is an abundant number, since it is smaller than the sum of its proper divisors (876710208).

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

454545312 is a wasteful number, since it uses less digits than its factorization.

454545312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 428 counting only the distinct ones).

The product of its digits is 48000, while the sum is 33.

The square root of 454545312 is about 21320.0682925735. The cubic root of 454545312 is about 768.8808794549.

The spelling of 454545312 in words is "four hundred fifty-four million, five hundred forty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 78 93 96 104 124 156 186 208 248 312 372 379 403 416 496 624 744 758 806 961 992 1137 1209 1248 1488 1516 1612 1922 2274 2418 2883 2976 3032 3224 3844 4548 4836 4927 5766 6064 6448 7688 9096 9672 9854 11532 11749 12128 12493 12896 14781 15376 18192 19344 19708 23064 23498 24986 29562 30752 35247 36384 37479 38688 39416 46128 46996 49972 59124 70494 74958 78832 92256 93992 99944 118248 140988 149916 152737 157664 187984 199888 236496 281976 299832 305474 364219 375968 399776 458211 472992 563952 599664 610948 728438 916422 1092657 1127904 1199328 1221896 1456876 1832844 2185314 2443792 2913752 3665688 4370628 4734847 4887584 5827504 7331376 8741256 9469694 11655008 14204541 14662752 17482512 18939388 28409082 34965024 37878776 56818164 75757552 113636328 151515104 227272656 454545312