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2426064264 = 233313863983
BaseRepresentation
bin1001000010011010…
…1100110110001000
320021002001211112000
42100212230312020
514432033024024
61040422551000
7114056130441
oct22046546610
96232054460
102426064264
1110354a4a98
12578598460
132c88133b0
141902c62c8
15e2ec3cc9
hex909acd88

2426064264 has 64 divisors (see below), whose sum is σ = 7257465600. Its totient is φ = 746480448.

The previous prime is 2426064253. The next prime is 2426064287. The reversal of 2426064264 is 4624606242.

2426064264 is a `hidden beast` number, since 2 + 4 + 2 + 6 + 0 + 642 + 6 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 429184 + ... + 434799.

It is an arithmetic number, because the mean of its divisors is an integer number (113397900).

Almost surely, 22426064264 is an apocalyptic number.

2426064264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2426064264 is an abundant number, since it is smaller than the sum of its proper divisors (4831401336).

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

2426064264 is a wasteful number, since it uses less digits than its factorization.

2426064264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864011 (or 864001 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 2426064264 is about 49255.0937873435. The cubic root of 2426064264 is about 1343.6952035228.

The spelling of 2426064264 in words is "two billion, four hundred twenty-six million, sixty-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 863983 1727966 2591949 3455932 5183898 6911864 7775847 10367796 11231779 15551694 20735592 22463558 23327541 31103388 33695337 44927116 46655082 62206776 67390674 89854232 93310164 101086011 134781348 186620328 202172022 269562696 303258033 404344044 606516066 808688088 1213032132 2426064264