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400150152 = 23332278161
BaseRepresentation
bin10111110110011…
…100111010001000
31000212221201211000
4113312130322020
51304414301102
6103412335000
712626135343
oct2766347210
91025851730
10400150152
11195968806
12b2014460
1364b94a4c
143b20345a
15251e301c
hex17d9ce88

400150152 has 64 divisors (see below), whose sum is σ = 1116561600. Its totient is φ = 132779520.

The previous prime is 400150133. The next prime is 400150169. The reversal of 400150152 is 251051004.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44952 + ... + 53112.

It is an arithmetic number, because the mean of its divisors is an integer number (17446275).

Almost surely, 2400150152 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 400150152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558280800).

400150152 is an abundant number, since it is smaller than the sum of its proper divisors (716411448).

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

400150152 is a wasteful number, since it uses less digits than its factorization.

400150152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8403 (or 8393 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 400150152 is about 20003.7534477907. The cubic root of 400150152 is about 736.8984823108.

The spelling of 400150152 in words is "four hundred million, one hundred fifty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 227 454 681 908 1362 1816 2043 2724 4086 5448 6129 8161 8172 12258 16322 16344 24483 24516 32644 48966 49032 65288 73449 97932 146898 195864 220347 293796 440694 587592 881388 1762776 1852547 3705094 5557641 7410188 11115282 14820376 16672923 22230564 33345846 44461128 50018769 66691692 100037538 133383384 200075076 400150152