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402000128 = 282775669
BaseRepresentation
bin10111111101100…
…000100100000000
31001000102201111122
4113331200210000
51310403001003
6103520131412
712650642015
oct2775404400
91030381448
10402000128
11196a11712
12b2766b68
1365391aca
143b56570c
152545b238
hex17f60900

402000128 has 36 divisors (see below), whose sum is σ = 805468860. Its totient is φ = 200239104.

The previous prime is 402000127. The next prime is 402000161. The reversal of 402000128 is 821000204.

It can be written as a sum of positive squares in 2 ways, for example, as 82591744 + 319408384 = 9088^2 + 17872^2 .

It is not an unprimeable number, because it can be changed into a prime (402000127) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 68078 + ... + 73746.

It is an arithmetic number, because the mean of its divisors is an integer number (22374135).

Almost surely, 2402000128 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 402000128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402734430).

402000128 is an abundant number, since it is smaller than the sum of its proper divisors (403468732).

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

402000128 is an equidigital number, since it uses as much as digits as its factorization.

402000128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5962 (or 5948 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 402000128 is about 20049.9408477930. The cubic root of 402000128 is about 738.0323475416.

The spelling of 402000128 in words is "four hundred two million, one hundred twenty-eight", and thus it is an aban number.

Divisors: 1 2 4 8 16 32 64 128 256 277 554 1108 2216 4432 5669 8864 11338 17728 22676 35456 45352 70912 90704 181408 362816 725632 1451264 1570313 3140626 6281252 12562504 25125008 50250016 100500032 201000064 402000128