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445722640 = 24511691733
BaseRepresentation
bin11010100100010…
…011000000010000
31011001201001111221
4122210103000100
51403101111030
6112121214424
714021402626
oct3244230020
91131631457
10445722640
11209665020
12105331414
137145cb0c
14432a7516
15291e5e7a
hex1a913010

445722640 has 80 divisors (see below), whose sum is σ = 1133695296. Its totient is φ = 161625600.

The previous prime is 445722637. The next prime is 445722679. The reversal of 445722640 is 46227544.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 445722596 and 445722605.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 607714 + ... + 608446.

Almost surely, 2445722640 is an apocalyptic number.

445722640 is a gapful number since it is divisible by the number (40) 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 445722640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566847648).

445722640 is an abundant number, since it is smaller than the sum of its proper divisors (687972656).

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

445722640 is a wasteful number, since it uses less digits than its factorization.

445722640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448 (or 1442 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 34.

The square root of 445722640 is about 21112.1443723749. The cubic root of 445722640 is about 763.8737124850.

The spelling of 445722640 in words is "four hundred forty-five million, seven hundred twenty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 691 733 880 1382 1466 2764 2932 3455 3665 5528 5864 6910 7330 7601 8063 11056 11728 13820 14660 15202 16126 27640 29320 30404 32252 38005 40315 55280 58640 60808 64504 76010 80630 121616 129008 152020 161260 304040 322520 506503 608080 645040 1013006 2026012 2532515 4052024 5065030 5571533 8104048 10130060 11143066 20260120 22286132 27857665 40520240 44572264 55715330 89144528 111430660 222861320 445722640