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45313092 = 2232111753127
BaseRepresentation
bin1010110011011…
…0110001000100
310011021010212200
42230312301010
543100004332
64255114500
71060104066
oct254666104
9104233780
1045313092
112363a440
1213212a30
139506ca6
146037736
153ea117c
hex2b36c44

45313092 has 144 divisors (see below), whose sum is σ = 135862272. Its totient is φ = 12579840.

The previous prime is 45313067. The next prime is 45313117. The reversal of 45313092 is 29031354.

It is an interprime number because it is at equal distance from previous prime (45313067) and next prime (45313117).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 356733 + ... + 356859.

It is an arithmetic number, because the mean of its divisors is an integer number (943488).

Almost surely, 245313092 is an apocalyptic number.

It is a pronic number, being equal to 6731×6732.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45313092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67931136).

45313092 is an abundant number, since it is smaller than the sum of its proper divisors (90549180).

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

45313092 is a wasteful number, since it uses less digits than its factorization.

45313092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 45313092 is about 6731.4999814306. The cubic root of 45313092 is about 356.5123393628.

The spelling of 45313092 in words is "forty-five million, three hundred thirteen thousand, ninety-two".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 53 66 68 99 102 106 127 132 153 159 187 198 204 212 254 306 318 374 381 396 477 508 561 583 612 636 748 762 901 954 1122 1143 1166 1397 1524 1683 1749 1802 1908 2159 2244 2286 2332 2703 2794 3366 3498 3604 4191 4318 4572 5247 5406 5588 6477 6731 6732 6996 8109 8382 8636 9911 10494 10812 12573 12954 13462 16218 16764 19431 19822 20193 20988 23749 25146 25908 26924 29733 32436 38862 39644 40386 47498 50292 59466 60579 71247 74041 77724 80772 89199 94996 114427 118932 121158 142494 148082 178398 213741 222123 228854 242316 284988 296164 343281 356796 427482 444246 457708 666369 686562 854964 888492 1029843 1258697 1332738 1373124 2059686 2517394 2665476 3776091 4119372 5034788 7552182 11328273 15104364 22656546 45313092