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45714690 = 23257149487
BaseRepresentation
bin1010111001100…
…0110100000010
310012000112202200
42232120310002
543200332230
64311454030
71063365660
oct256306402
9105015680
1045714690
112389413a
1213387316
139617a18
1460ddc30
154030160
hex2b98d02

45714690 has 96 divisors (see below), whose sum is σ = 137030400. Its totient is φ = 10357632.

The previous prime is 45714689. The next prime is 45714707. The reversal of 45714690 is 9641754.

It is a super-2 number, since 2×457146902 = 4179665763592200, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 93627 + ... + 94113.

It is an arithmetic number, because the mean of its divisors is an integer number (1427400).

Almost surely, 245714690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45714690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68515200).

45714690 is an abundant number, since it is smaller than the sum of its proper divisors (91315710).

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

45714690 is a wasteful number, since it uses less digits than its factorization.

45714690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 45714690 is about 6761.2639350938. The cubic root of 45714690 is about 357.5624680968.

It can be divided in two parts, 4571 and 4690, that added together give a cube (9261 = 213).

The spelling of 45714690 in words is "forty-five million, seven hundred fourteen thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 149 210 298 315 447 487 630 745 894 974 1043 1341 1461 1490 2086 2235 2435 2682 2922 3129 3409 4383 4470 4870 5215 6258 6705 6818 7305 8766 9387 10227 10430 13410 14610 15645 17045 18774 20454 21915 30681 31290 34090 43830 46935 51135 61362 72563 93870 102270 145126 153405 217689 306810 362815 435378 507941 653067 725630 1015882 1088445 1306134 1523823 2176890 2539705 3047646 3265335 4571469 5079410 6530670 7619115 9142938 15238230 22857345 45714690