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378487872 = 2632793871
BaseRepresentation
bin10110100011110…
…100010001000000
3222101012011202100
4112203310101000
51233343102442
6101320150400
712244044120
oct2643642100
9871164670
10378487872
111847125a4
12a6908400
136054bb29
14383a4c80
152336484c
hex168f4440

378487872 has 84 divisors (see below), whose sum is σ = 1239861376. Its totient is φ = 108138240.

The previous prime is 378487871. The next prime is 378487873. The reversal of 378487872 is 278784873.

It is a happy number.

378487872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (378487871) and next prime (378487873).

It is a tau number, because it is divible by the number of its divisors (84).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (378487871) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 42904 + ... + 50967.

Almost surely, 2378487872 is an apocalyptic number.

378487872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

378487872 is an abundant number, since it is smaller than the sum of its proper divisors (861373504).

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

378487872 is a wasteful number, since it uses less digits than its factorization.

378487872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93896 (or 93883 counting only the distinct ones).

The product of its digits is 4214784, while the sum is 54.

The square root of 378487872 is about 19454.7647634198. The cubic root of 378487872 is about 723.3536145479.

The spelling of 378487872 in words is "three hundred seventy-eight million, four hundred eighty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 93871 187742 281613 375484 563226 657097 750968 844839 1126452 1314194 1501936 1689678 1971291 2252904 2628388 3003872 3379356 3942582 4505808 5256776 5913873 6007744 6758712 7885164 9011616 10513552 11827746 13517424 15770328 18023232 21027104 23655492 27034848 31540656 42054208 47310984 54069696 63081312 94621968 126162624 189243936 378487872