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469524640 = 25513225733
BaseRepresentation
bin11011111111000…
…110000010100000
31012201111022201111
4123333012002200
51430144242030
6114331313104
714430615334
oct3377060240
91181438644
10469524640
112210418a2
121112ab794
1376374940
14465017c4
152b34862a
hex1bfc60a0

469524640 has 48 divisors (see below), whose sum is σ = 1194584328. Its totient is φ = 173362176.

The previous prime is 469524623. The next prime is 469524641. The reversal of 469524640 is 46425964.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 137264656 + 332259984 = 11716^2 + 18228^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 469524593 and 469524602.

It is not an unprimeable number, because it can be changed into a prime (469524641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110787 + ... + 114946.

Almost surely, 2469524640 is an apocalyptic number.

469524640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

469524640 is an abundant number, since it is smaller than the sum of its proper divisors (725059688).

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

469524640 is a wasteful number, since it uses less digits than its factorization.

469524640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225761 (or 225753 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The square root of 469524640 is about 21668.5172543024. The cubic root of 469524640 is about 777.2357997158.

The spelling of 469524640 in words is "four hundred sixty-nine million, five hundred twenty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 225733 451466 902932 1128665 1805864 2257330 2934529 3611728 4514660 5869058 7223456 9029320 11738116 14672645 18058640 23476232 29345290 36117280 46952464 58690580 93904928 117381160 234762320 469524640