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444603690 = 232516330307
BaseRepresentation
bin11010100000000…
…001110100101010
31010222121012121100
4122200001310222
51402304304230
6112041222230
714006032446
oct3240016452
91128535540
10444603690
11208a70373
12104a91976
137115a70b
1443095826
1529074660
hex1a801d2a

444603690 has 48 divisors (see below), whose sum is σ = 1163099808. Its totient is φ = 117829728.

The previous prime is 444603673. The next prime is 444603751. The reversal of 444603690 is 96306444.

444603690 is a `hidden beast` number, since 4 + 44 + 603 + 6 + 9 + 0 = 666.

It is a super-2 number, since 2×4446036902 = 395344882323232200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 484 + ... + 29823.

It is an arithmetic number, because the mean of its divisors is an integer number (24231246).

Almost surely, 2444603690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444603690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581549904).

444603690 is an abundant number, since it is smaller than the sum of its proper divisors (718496118).

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

444603690 is a wasteful number, since it uses less digits than its factorization.

444603690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30483 (or 30480 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 444603690 is about 21085.6275695081. The cubic root of 444603690 is about 763.2339628129.

The spelling of 444603690 in words is "four hundred forty-four million, six hundred three thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 163 326 489 815 978 1467 1630 2445 2934 4890 7335 14670 30307 60614 90921 151535 181842 272763 303070 454605 545526 909210 1363815 2727630 4940041 9880082 14820123 24700205 29640246 44460369 49400410 74100615 88920738 148201230 222301845 444603690