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445796946 = 23472811399
BaseRepresentation
bin11010100100100…
…101001001010010
31011001211211110000
4122210211021102
51403111000241
6112122550430
714022132360
oct3244451122
91131754400
10445796946
11209705931
12105368416
137148789a
14432c6630
152920ceb6
hex1a925252

445796946 has 80 divisors (see below), whose sum is σ = 1146499200. Its totient is φ = 126826560.

The previous prime is 445796909. The next prime is 445796951. The reversal of 445796946 is 649697544.

It is a happy number.

445796946 is a `hidden beast` number, since 4 + 4 + 579 + 69 + 4 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (6531840) is a multiple of the sum of its prime factors (1701).

It is a junction number, because it is equal to n+sod(n) for n = 445796892 and 445796901.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 317955 + ... + 319353.

It is an arithmetic number, because the mean of its divisors is an integer number (14331240).

Almost surely, 2445796946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445796946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573249600).

445796946 is an abundant number, since it is smaller than the sum of its proper divisors (700702254).

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

445796946 is a wasteful number, since it uses less digits than its factorization.

445796946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1701 (or 1692 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The square root of 445796946 is about 21113.9040918538. The cubic root of 445796946 is about 763.9161583479.

The spelling of 445796946 in words is "four hundred forty-five million, seven hundred ninety-six thousand, nine hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 281 378 562 567 843 1134 1399 1686 1967 2529 2798 3934 4197 5058 5901 7587 8394 9793 11802 12591 15174 17703 19586 22761 25182 29379 35406 37773 45522 53109 58758 75546 88137 106218 113319 159327 176274 226638 264411 318654 393119 528822 786238 793233 1179357 1586466 2358714 2751833 3538071 5503666 7076142 8255499 10614213 16510998 21228426 24766497 31842639 49532994 63685278 74299491 148598982 222898473 445796946