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404452872 = 23333315657
BaseRepresentation
bin11000000110110…
…111011000001000
31001012001100001000
4120012313120020
51312014442442
6104044455000
713010535615
oct3006673010
91035040030
10404452872
1119833747a
12b354a460
1365a40335
143ba0350c
1525792d4c
hex181b7608

404452872 has 64 divisors (see below), whose sum is σ = 1127073600. Its totient is φ = 134386560.

The previous prime is 404452859. The next prime is 404452889. The reversal of 404452872 is 278254404.

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 15 ways as a sum of consecutive naturals, for example, 68668 + ... + 74324.

It is an arithmetic number, because the mean of its divisors is an integer number (17610525).

Almost surely, 2404452872 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 404452872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563536800).

404452872 is an abundant number, since it is smaller than the sum of its proper divisors (722620728).

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

404452872 is a wasteful number, since it uses less digits than its factorization.

404452872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6003 (or 5993 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 404452872 is about 20111.0136989660. The cubic root of 404452872 is about 739.5303033470.

The spelling of 404452872 in words is "four hundred four million, four hundred fifty-two thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 331 662 993 1324 1986 2648 2979 3972 5657 5958 7944 8937 11314 11916 16971 17874 22628 23832 33942 35748 45256 50913 67884 71496 101826 135768 152739 203652 305478 407304 610956 1221912 1872467 3744934 5617401 7489868 11234802 14979736 16852203 22469604 33704406 44939208 50556609 67408812 101113218 134817624 202226436 404452872