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4292992924 = 22111917329683
BaseRepresentation
bin1111111111100001…
…1101111110011100
3102002012000122011221
43333320131332130
532243001233144
61545553423124
7211245560233
oct37770357634
912065018157
104292992924
111903312140
129b986aaa4
13535537ccc
142ca221b1a
151a1d4cd84
hexffe1df9c

4292992924 has 48 divisors (see below), whose sum is σ = 8677226880. Its totient is φ = 1837909440.

The previous prime is 4292992861. The next prime is 4292992927.

4292992924 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4292992927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129787 + ... + 159469.

It is an arithmetic number, because the mean of its divisors is an integer number (180775560).

Almost surely, 24292992924 is an apocalyptic number.

4292992924 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4292992924 is an abundant number, since it is smaller than the sum of its proper divisors (4384233956).

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

4292992924 is a wasteful number, since it uses less digits than its factorization.

4292992924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29890 (or 29888 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 52.

The square root of 4292992924 is about 65520.9350055385. The cubic root of 4292992924 is about 1625.2495615451.

The spelling of 4292992924 in words is "four billion, two hundred ninety-two million, nine hundred ninety-two thousand, nine hundred twenty-four".

Divisors: 1 2 4 11 19 22 38 44 76 173 209 346 418 692 836 1903 3287 3806 6574 7612 13148 29683 36157 59366 72314 118732 144628 326513 563977 653026 1127954 1306052 2255908 5135159 6203747 10270318 12407494 20540636 24814988 56486749 97568021 112973498 195136042 225946996 390272084 1073248231 2146496462 4292992924