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444426528 = 25371350873
BaseRepresentation
bin11010011111010…
…110100100100000
31010222021012120210
4122133112210200
51402233122103
6112033334120
714004364110
oct3237264440
91128235523
10444426528
1120895a257
12104a07340
13710c7ba0
144304b040
152903be03
hex1a7d6920

444426528 has 96 divisors (see below), whose sum is σ = 1435867776. Its totient is φ = 117209088.

The previous prime is 444426523. The next prime is 444426547. The reversal of 444426528 is 825624444.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) 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 (39).

It is not an unprimeable number, because it can be changed into a prime (444426523) 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, 16701 + ... + 34172.

It is an arithmetic number, because the mean of its divisors is an integer number (14956956).

Almost surely, 2444426528 is an apocalyptic number.

444426528 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

444426528 is an abundant number, since it is smaller than the sum of its proper divisors (991441248).

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

444426528 is a wasteful number, since it uses less digits than its factorization.

444426528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50906 (or 50898 counting only the distinct ones).

The product of its digits is 245760, while the sum is 39.

The square root of 444426528 is about 21081.4261377166. The cubic root of 444426528 is about 763.1325736265.

The spelling of 444426528 in words is "four hundred forty-four million, four hundred twenty-six thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1092 1248 1456 2184 2912 4368 8736 50873 101746 152619 203492 305238 356111 406984 610476 661349 712222 813968 1068333 1220952 1322698 1424444 1627936 1984047 2136666 2441904 2645396 2848888 3968094 4273332 4629443 4883808 5290792 5697776 7936188 8546664 9258886 10581584 11395552 13888329 15872376 17093328 18517772 21163168 27776658 31744752 34186656 37035544 55553316 63489504 74071088 111106632 148142176 222213264 444426528