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2642307864 = 2337101155723
BaseRepresentation
bin1001110101111110…
…0110101100011000
320211010222010222020
42131133212230120
520402412322424
61114105454440
7122323150320
oct23537465430
96733863866
102642307864
111136572009
12618aa1420
133315670a1
141b0cd6280
15106e8b079
hex9d7e6b18

2642307864 has 64 divisors (see below), whose sum is σ = 7624247040. Its totient is φ = 747465600.

The previous prime is 2642307821. The next prime is 2642307869. The reversal of 2642307864 is 4687032462.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2642307869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60894 + ... + 94829.

It is an arithmetic number, because the mean of its divisors is an integer number (119128860).

Almost surely, 22642307864 is an apocalyptic number.

2642307864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2642307864 is an abundant number, since it is smaller than the sum of its proper divisors (4981939176).

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

2642307864 is a wasteful number, since it uses less digits than its factorization.

2642307864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155840 (or 155836 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The square root of 2642307864 is about 51403.3837796696. The cubic root of 2642307864 is about 1382.4872639811.

The spelling of 2642307864 in words is "two billion, six hundred forty-two million, three hundred seven thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 101 168 202 303 404 606 707 808 1212 1414 2121 2424 2828 4242 5656 8484 16968 155723 311446 467169 622892 934338 1090061 1245784 1868676 2180122 3270183 3737352 4360244 6540366 8720488 13080732 15728023 26161464 31456046 47184069 62912092 94368138 110096161 125824184 188736276 220192322 330288483 377472552 440384644 660576966 880769288 1321153932 2642307864