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382084992 = 2733110557
BaseRepresentation
bin10110110001100…
…010011110000000
3222121221221002000
4112301202132000
51240303204432
6101525224000
712316445262
oct2661423600
9877857060
10382084992
1118674a123
12a7b62000
136120b1c3
1438a5db32
152382557c
hex16c62780

382084992 has 64 divisors (see below), whose sum is σ = 1127691600. Its totient is φ = 127360512.

The previous prime is 382084981. The next prime is 382084999. The reversal of 382084992 is 299480283.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3820849922 = 291977882223280128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382084999) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51823 + ... + 58734.

Almost surely, 2382084992 is an apocalyptic number.

382084992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

382084992 is an abundant number, since it is smaller than the sum of its proper divisors (745606608).

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

382084992 is a wasteful number, since it uses less digits than its factorization.

382084992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110580 (or 110562 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 382084992 is about 19546.9944492753. The cubic root of 382084992 is about 725.6379589591.

The spelling of 382084992 in words is "three hundred eighty-two million, eighty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 110557 221114 331671 442228 663342 884456 995013 1326684 1768912 1990026 2653368 2985039 3537824 3980052 5306736 5970078 7075648 7960104 10613472 11940156 14151296 15920208 21226944 23880312 31840416 42453888 47760624 63680832 95521248 127361664 191042496 382084992