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45821490 = 23511213971
BaseRepresentation
bin1010111011001…
…0111000110010
310012012222021020
42232302320302
543212241430
64314040310
71064322231
oct256627062
9105188236
1045821490
1123957400
1213419096
139654510
14612ab18
154051b10
hex2bb2e32

45821490 has 96 divisors (see below), whose sum is σ = 130310208. Its totient is φ = 10243200.

The previous prime is 45821471. The next prime is 45821491. The reversal of 45821490 is 9412854.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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 (45821491) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46705 + ... + 47675.

It is an arithmetic number, because the mean of its divisors is an integer number (1357398).

Almost surely, 245821490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45821490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65155104).

45821490 is an abundant number, since it is smaller than the sum of its proper divisors (84488718).

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

45821490 is a wasteful number, since it uses less digits than its factorization.

45821490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 45821490 is about 6769.1572592162. The cubic root of 45821490 is about 357.8407008468.

The spelling of 45821490 in words is "forty-five million, eight hundred twenty-one thousand, four hundred ninety".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 121 130 143 165 195 242 286 330 363 390 429 605 715 726 858 971 1210 1430 1573 1815 1942 2145 2913 3146 3630 4290 4719 4855 5826 7865 9438 9710 10681 12623 14565 15730 21362 23595 25246 29130 32043 37869 47190 53405 63115 64086 75738 106810 117491 126230 138853 160215 189345 234982 277706 320430 352473 378690 416559 587455 694265 704946 833118 1174910 1388530 1527383 1762365 2082795 3054766 3524730 4165590 4582149 7636915 9164298 15273830 22910745 45821490