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444635004 = 223114397673
BaseRepresentation
bin11010100000001…
…001011101111100
31010222122210120010
4122200021131330
51402311310004
6112042023220
714006222652
oct3240113574
91128583503
10444635004
11208a91950
12104aa7b10
137116ba48
14430a2dd2
152907da89
hex1a80977c

444635004 has 48 divisors (see below), whose sum is σ = 1134524160. Its totient is φ = 134413440.

The previous prime is 444635003. The next prime is 444635063. The reversal of 444635004 is 400536444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444635003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54112 + ... + 61784.

It is an arithmetic number, because the mean of its divisors is an integer number (23635920).

Almost surely, 2444635004 is an apocalyptic number.

444635004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

444635004 is an abundant number, since it is smaller than the sum of its proper divisors (689889156).

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

444635004 is a wasteful number, since it uses less digits than its factorization.

444635004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8130 (or 8128 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 444635004 is about 21086.3701001381. The cubic root of 444635004 is about 763.2518809033.

The spelling of 444635004 in words is "four hundred forty-four million, six hundred thirty-five thousand, four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 439 878 1317 1756 2634 4829 5268 7673 9658 14487 15346 19316 23019 28974 30692 46038 57948 84403 92076 168806 253209 337612 506418 1012836 3368447 6736894 10105341 13473788 20210682 37052917 40421364 74105834 111158751 148211668 222317502 444635004