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45257604 = 22371741773
BaseRepresentation
bin1010110010100…
…1001110000100
310011011022202120
42230221032010
543041220404
64254005540
71056453240
oct254511604
9104138676
1045257604
1123601787
12131a68b0
1394b7962
146021420
153e8e9d9
hex2b29384

45257604 has 96 divisors (see below), whose sum is σ = 131072256. Its totient is φ = 11857920.

The previous prime is 45257573. The next prime is 45257617. The reversal of 45257604 is 40675254.

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 31 ways as a sum of consecutive naturals, for example, 58162 + ... + 58934.

It is an arithmetic number, because the mean of its divisors is an integer number (1365336).

Almost surely, 245257604 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 45257604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65536128).

45257604 is an abundant number, since it is smaller than the sum of its proper divisors (85814652).

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

45257604 is a wasteful number, since it uses less digits than its factorization.

45257604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 45257604 is about 6727.3772006630. The cubic root of 45257604 is about 356.3667579128.

The spelling of 45257604 in words is "forty-five million, two hundred fifty-seven thousand, six hundred four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 41 42 51 68 82 84 102 119 123 164 204 238 246 287 357 476 492 574 697 714 773 861 1148 1394 1428 1546 1722 2091 2319 2788 3092 3444 4182 4638 4879 5411 8364 9276 9758 10822 13141 14637 16233 19516 21644 26282 29274 31693 32466 39423 52564 58548 63386 64932 78846 91987 95079 126772 157692 183974 190158 221851 275961 367948 380316 443702 538781 551922 665553 887404 1077562 1103844 1331106 1616343 2155124 2662212 3232686 3771467 6465372 7542934 11314401 15085868 22628802 45257604