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382465536 = 2934992
BaseRepresentation
bin10110110010111…
…111011000000000
3222122200021002020
4112302333120000
51240402344121
6101541321440
712322621605
oct2662773000
9878607066
10382465536
1118698a022
12a8106280
136131248b
1438b1c6ac
152389d1c6
hex16cbf600

382465536 has 60 divisors (see below), whose sum is σ = 1020958092. Its totient is φ = 127233024.

The previous prime is 382465529. The next prime is 382465537. The reversal of 382465536 is 635564283.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382465537) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 766215 + ... + 766713.

Almost surely, 2382465536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382465536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510479046).

382465536 is an abundant number, since it is smaller than the sum of its proper divisors (638492556).

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

382465536 is an frugal number, since it uses more digits than its factorization.

382465536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 504 counting only the distinct ones).

The product of its digits is 518400, while the sum is 42.

The square root of 382465536 is about 19556.7261063809. The cubic root of 382465536 is about 725.8787828189.

The spelling of 382465536 in words is "three hundred eighty-two million, four hundred sixty-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 499 512 768 998 1497 1536 1996 2994 3992 5988 7984 11976 15968 23952 31936 47904 63872 95808 127744 191616 249001 255488 383232 498002 747003 766464 996004 1494006 1992008 2988012 3984016 5976024 7968032 11952048 15936064 23904096 31872128 47808192 63744256 95616384 127488512 191232768 382465536