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45605352 = 23313313467
BaseRepresentation
bin1010110111111…
…0000111101000
310011210222210010
42231332013220
543133332402
64305251520
71062432132
oct255760750
9104728703
1045605352
1123819a81
1213333ba0
1395aa020
1460b2052
15400ca6c
hex2b7e1e8

45605352 has 64 divisors (see below), whose sum is σ = 123439680. Its totient is φ = 13957632.

The previous prime is 45605341. The next prime is 45605393. The reversal of 45605352 is 25350654.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97423 + ... + 97889.

It is an arithmetic number, because the mean of its divisors is an integer number (1928745).

Almost surely, 245605352 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 45605352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61719840).

45605352 is an abundant number, since it is smaller than the sum of its proper divisors (77834328).

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

45605352 is a wasteful number, since it uses less digits than its factorization.

45605352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 45605352 is about 6753.1734762258. The cubic root of 45605352 is about 357.2771741340.

The spelling of 45605352 in words is "forty-five million, six hundred five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 313 467 626 934 939 1252 1401 1868 1878 2504 2802 3736 3756 4069 5604 6071 7512 8138 11208 12142 12207 16276 18213 24284 24414 32552 36426 48568 48828 72852 97656 145704 146171 292342 438513 584684 877026 1169368 1754052 1900223 3508104 3800446 5700669 7600892 11401338 15201784 22802676 45605352