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45740772 = 223271129569
BaseRepresentation
bin1010111001111…
…1001011100100
310012001212112200
42232133023210
543202201042
64312214500
71063535010
oct256371344
9105055480
1045740772
11239017a0
121339a430
13962685c
146109540
154037c4c
hex2b9f2e4

45740772 has 144 divisors (see below), whose sum is σ = 149385600. Its totient is φ = 11450880.

The previous prime is 45740759. The next prime is 45740797. The reversal of 45740772 is 27704754.

It is a happy number.

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

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, 80104 + ... + 80672.

It is an arithmetic number, because the mean of its divisors is an integer number (1037400).

Almost surely, 245740772 is an apocalyptic number.

45740772 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45740772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74692800).

45740772 is an abundant number, since it is smaller than the sum of its proper divisors (103644828).

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

45740772 is a wasteful number, since it uses less digits than its factorization.

45740772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 45740772 is about 6763.1924414436. The cubic root of 45740772 is about 357.6304562442.

The spelling of 45740772 in words is "forty-five million, seven hundred forty thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 29 33 36 42 44 58 63 66 77 84 87 99 116 126 132 154 174 198 203 231 252 261 308 319 348 396 406 462 522 569 609 638 693 812 924 957 1044 1138 1218 1276 1386 1707 1827 1914 2233 2276 2436 2772 2871 3414 3654 3828 3983 4466 5121 5742 6259 6699 6828 7308 7966 8932 10242 11484 11949 12518 13398 15932 16501 18777 20097 20484 23898 25036 26796 33002 35847 37554 40194 43813 47796 49503 56331 66004 71694 75108 80388 87626 99006 112662 115507 131439 143388 148509 175252 181511 198012 225324 231014 262878 297018 346521 363022 394317 462028 525756 544533 594036 693042 726044 788634 1039563 1089066 1270577 1386084 1577268 1633599 2079126 2178132 2541154 3267198 3811731 4158252 5082308 6534396 7623462 11435193 15246924 22870386 45740772