Search a number
-
+
413679924 = 223271641587
BaseRepresentation
bin11000101010000…
…100000100110100
31001211102010011200
4120222010010310
51321400224144
6105014332500
713152135630
oct3052040464
91054363150
10413679924
111a2569939
12b665a130
1367921128
143cd25dc0
15264b6c69
hex18a84134

413679924 has 36 divisors (see below), whose sum is σ = 1195076064. Its totient is φ = 118194192.

The previous prime is 413679911. The next prime is 413679949. The reversal of 413679924 is 429976314.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×4136799242 = 342262159041291552, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 413679924.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 820542 + ... + 821045.

Almost surely, 2413679924 is an apocalyptic number.

It is an amenable number.

413679924 is an abundant number, since it is smaller than the sum of its proper divisors (781396140).

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

413679924 is a wasteful number, since it uses less digits than its factorization.

413679924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641604 (or 1641599 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 413679924 is about 20339.1229899423. The cubic root of 413679924 is about 745.1118694522. Note that the first 3 decimals are identical.

The spelling of 413679924 in words is "four hundred thirteen million, six hundred seventy-nine thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 1641587 3283174 4924761 6566348 9849522 11491109 14774283 19699044 22982218 29548566 34473327 45964436 59097132 68946654 103419981 137893308 206839962 413679924