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4002023432 = 2311293674273
BaseRepresentation
bin1110111010001010…
…0000100000001000
3101022220111212002002
43232202200200020
531144004222212
61501041130132
7201113431541
oct35642404010
911286455062
104002023432
111774046490
12938329948
134ba17c704
1429d71d4c8
15186524ac2
hexee8a0808

4002023432 has 64 divisors (see below), whose sum is σ = 8493292800. Its totient is φ = 1751178240.

The previous prime is 4002023429. The next prime is 4002023453. The reversal of 4002023432 is 2343202004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 934448 + ... + 938720.

It is an arithmetic number, because the mean of its divisors is an integer number (132707700).

Almost surely, 24002023432 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 4002023432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4246646400).

4002023432 is an abundant number, since it is smaller than the sum of its proper divisors (4491269368).

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

4002023432 is a wasteful number, since it uses less digits than its factorization.

4002023432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4686 (or 4682 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 4002023432 is about 63261.5478153989. The cubic root of 4002023432 is about 1587.6686733542.

Adding to 4002023432 its reverse (2343202004), we get a palindrome (6345225436).

The spelling of 4002023432 in words is "four billion, two million, twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 232 319 367 638 734 1276 1468 2552 2936 4037 4273 8074 8546 10643 16148 17092 21286 32296 34184 42572 47003 85144 94006 117073 123917 188012 234146 247834 376024 468292 495668 936584 991336 1363087 1568191 2726174 3136382 5452348 6272764 10904696 12545528 17250101 34500202 45477539 69000404 90955078 138000808 181910156 363820312 500252929 1000505858 2001011716 4002023432