Search a number
-
+
400845672 = 2334618589
BaseRepresentation
bin10111111001000…
…110101101101000
31000221021001220000
4113321012231220
51310104030142
6103435303000
712635063163
oct2771065550
91027231800
10400845672
111962a3317
12b22aaa60
13650794b6
143b344ada
15252ce14c
hex17e46b68

400845672 has 40 divisors (see below), whose sum is σ = 1122740850. Its totient is φ = 133615008.

The previous prime is 400845667. The next prime is 400845689. The reversal of 400845672 is 276548004.

It can be written as a sum of positive squares in only one way, i.e., 373030596 + 27815076 = 19314^2 + 5274^2 .

It is a super-2 number, since 2×4008456722 = 321354505522263168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 308647 + ... + 309942.

Almost surely, 2400845672 is an apocalyptic number.

It is an amenable number.

400845672 is an abundant number, since it is smaller than the sum of its proper divisors (721895178).

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

400845672 is a wasteful number, since it uses less digits than its factorization.

400845672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618607 (or 618594 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 400845672 is about 20021.1306374041. The cubic root of 400845672 is about 737.3251812776.

The spelling of 400845672 in words is "four hundred million, eight hundred forty-five thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 618589 1237178 1855767 2474356 3711534 4948712 5567301 7423068 11134602 14846136 16701903 22269204 33403806 44538408 50105709 66807612 100211418 133615224 200422836 400845672