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2642407092 = 22321319932833
BaseRepresentation
bin1001110101111111…
…1110111010110100
320211011011012002100
42131133332322310
520402424011332
61114111542100
7122324042523
oct23537767264
96734135070
102642407092
11113662a616
12618b2a930
133315a02c0
141b0d204ba
15106eaa67c
hex9d7feeb4

2642407092 has 72 divisors (see below), whose sum is σ = 7199368904. Its totient is φ = 812353536.

The previous prime is 2642407081. The next prime is 2642407127. The reversal of 2642407092 is 2907042462.

2642407092 is a `hidden beast` number, since 2 + 642 + 4 + 0 + 7 + 0 + 9 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 179667216 + 2462739876 = 13404^2 + 49626^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 931308 + ... + 934140.

Almost surely, 22642407092 is an apocalyptic number.

It is an amenable number.

2642407092 is an abundant number, since it is smaller than the sum of its proper divisors (4556961812).

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

2642407092 is a wasteful number, since it uses less digits than its factorization.

2642407092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4849 (or 4844 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2642407092 is about 51404.3489599859. The cubic root of 2642407092 is about 1382.5045695256.

The spelling of 2642407092 in words is "two billion, six hundred forty-two million, four hundred seven thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 1993 2833 3986 5666 5979 7972 8499 11332 11958 16998 17937 23916 25497 25909 33996 35874 36829 50994 51818 71748 73658 77727 101988 103636 110487 147316 155454 220974 233181 310908 331461 441948 466362 662922 932724 1325844 5646169 11292338 16938507 22584676 33877014 50815521 67754028 73400197 101631042 146800394 203262084 220200591 293600788 440401182 660601773 880802364 1321203546 2642407092