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45740904 = 23311219829
BaseRepresentation
bin1010111001111…
…1001101101000
310012001212201120
42232133031220
543202202104
64312215240
71063535256
oct256371550
9105055646
1045740904
1123901900
121339a520
139626931
1461095d6
154037cd9
hex2b9f368

45740904 has 96 divisors (see below), whose sum is σ = 132468000. Its totient is φ = 13115520.

The previous prime is 45740879. The next prime is 45740909. The reversal of 45740904 is 40904754.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (45740909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54762 + ... + 55590.

It is an arithmetic number, because the mean of its divisors is an integer number (1379875).

Almost surely, 245740904 is an apocalyptic number.

45740904 is a gapful number since it is divisible by the number (44) 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 45740904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66234000).

45740904 is an abundant number, since it is smaller than the sum of its proper divisors (86727096).

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

45740904 is a wasteful number, since it uses less digits than its factorization.

45740904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 45740904 is about 6763.2022001416. The cubic root of 45740904 is about 357.6308002639.

The spelling of 45740904 in words is "forty-five million, seven hundred forty thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 121 132 152 209 228 242 264 363 418 456 484 627 726 829 836 968 1254 1452 1658 1672 2299 2487 2508 2904 3316 4598 4974 5016 6632 6897 9119 9196 9948 13794 15751 18238 18392 19896 27357 27588 31502 36476 47253 54714 55176 63004 72952 94506 100309 109428 126008 173261 189012 200618 218856 300927 346522 378024 401236 519783 601854 693044 802472 1039566 1203708 1386088 1905871 2079132 2407416 3811742 4158264 5717613 7623484 11435226 15246968 22870452 45740904