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4292257644 = 2232313846109
BaseRepresentation
bin1111111111010110…
…1010011101101100
3102002010122021120100
43333311222131230
532242304221034
61545525551100
7211236405453
oct37765523554
912063567510
104292257644
11190295a774
129b9575490
1353533b42c
142ca0adb9a
151a1c55099
hexffd6a76c

4292257644 has 36 divisors (see below), whose sum is σ = 11199872320. Its totient is φ = 1384598880.

The previous prime is 4292257633. The next prime is 4292257687. The reversal of 4292257644 is 4467522924.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4292257644.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1921939 + ... + 1924170.

Almost surely, 24292257644 is an apocalyptic number.

It is an amenable number.

4292257644 is an abundant number, since it is smaller than the sum of its proper divisors (6907614676).

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

4292257644 is a wasteful number, since it uses less digits than its factorization.

4292257644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3846150 (or 3846145 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 4292257644 is about 65515.3237342227. The cubic root of 4292257644 is about 1625.1567683391.

The spelling of 4292257644 in words is "four billion, two hundred ninety-two million, two hundred fifty-seven thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 3846109 7692218 11538327 15384436 23076654 34614981 46153308 69229962 119229379 138459924 238458758 357688137 476917516 715376274 1073064411 1430752548 2146128822 4292257644