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2414207424 = 26313791781
BaseRepresentation
bin1000111111100101…
…1110000111000000
320020020202102222210
42033321132013000
514421014114144
61035320502120
7113553265416
oct21771360700
96206672883
102414207424
111029836852
1257461a940
132c6221605
1418c8bb2b6
15e1e30ab9
hex8fe5e1c0

2414207424 has 56 divisors (see below), whose sum is σ = 6434285328. Its totient is φ = 798853120.

The previous prime is 2414207363. The next prime is 2414207447. The reversal of 2414207424 is 4247024142.

2414207424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2414207391 and 2414207400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19587 + ... + 72194.

Almost surely, 22414207424 is an apocalyptic number.

2414207424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2414207424 is an abundant number, since it is smaller than the sum of its proper divisors (4020077904).

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

2414207424 is a wasteful number, since it uses less digits than its factorization.

2414207424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91933 (or 91923 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 30.

The square root of 2414207424 is about 49134.5848054097. The cubic root of 2414207424 is about 1341.5026256616.

The spelling of 2414207424 in words is "two billion, four hundred fourteen million, two hundred seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 137 192 274 411 548 822 1096 1644 2192 3288 4384 6576 8768 13152 26304 91781 183562 275343 367124 550686 734248 1101372 1468496 2202744 2936992 4405488 5873984 8810976 12573997 17621952 25147994 37721991 50295988 75443982 100591976 150887964 201183952 301775928 402367904 603551856 804735808 1207103712 2414207424