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4293372944 = 24727375017
BaseRepresentation
bin1111111111100111…
…1010110000010000
3102002012201221110202
43333321322300100
532243100413234
61550005514332
7211252032200
oct37771726020
912065657422
104293372944
111903551703
129b9a129a8
1353563bc83
142ca2c0400
151a1dc577e
hexffe7ac10

4293372944 has 60 divisors (see below), whose sum is σ = 9809203644. Its totient is φ = 1814787072.

The previous prime is 4293372917. The next prime is 4293372949. The reversal of 4293372944 is 4492733924.

It can be written as a sum of positive squares in 2 ways, for example, as 1696451344 + 2596921600 = 41188^2 + 50960^2 .

It is not an unprimeable number, because it can be changed into a prime (4293372949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19724 + ... + 94740.

Almost surely, 24293372944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4293372944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4904601822).

4293372944 is an abundant number, since it is smaller than the sum of its proper divisors (5515830700).

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

4293372944 is a wasteful number, since it uses less digits than its factorization.

4293372944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75112 (or 75099 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 47.

The square root of 4293372944 is about 65523.8349305045. The cubic root of 4293372944 is about 1625.2975163655.

The spelling of 4293372944 in words is "four billion, two hundred ninety-three million, three hundred seventy-two thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 73 98 112 146 196 292 392 511 584 784 1022 1168 2044 3577 4088 7154 8176 14308 28616 57232 75017 150034 300068 525119 600136 1050238 1200272 2100476 3675833 4200952 5476241 7351666 8401904 10952482 14703332 21904964 29406664 38333687 43809928 58813328 76667374 87619856 153334748 268335809 306669496 536671618 613338992 1073343236 2146686472 4293372944