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536379400 = 23522681897
BaseRepresentation
bin11111111110001…
…000000000001000
31101101021220012201
4133332020000020
52044303120100
6125120245544
716202102224
oct3776100010
91341256181
10536379400
11255854867
1212b7708b4
138718197b
1451345784
153215236a
hex1ff88008

536379400 has 24 divisors (see below), whose sum is σ = 1247082570. Its totient is φ = 214551680.

The previous prime is 536379341. The next prime is 536379409. The reversal of 536379400 is 4973635.

It can be written as a sum of positive squares in 3 ways, for example, as 497914596 + 38464804 = 22314^2 + 6202^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 536379400.

It is not an unprimeable number, because it can be changed into a prime (536379409) 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, 1340749 + ... + 1341148.

Almost surely, 2536379400 is an apocalyptic number.

536379400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

536379400 is an abundant number, since it is smaller than the sum of its proper divisors (710703170).

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

536379400 is a wasteful number, since it uses less digits than its factorization.

536379400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2681913 (or 2681904 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 37.

The square root of 536379400 is about 23159.8661481452. The cubic root of 536379400 is about 812.5012355011.

The spelling of 536379400 in words is "five hundred thirty-six million, three hundred seventy-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 2681897 5363794 10727588 13409485 21455176 26818970 53637940 67047425 107275880 134094850 268189700 536379400