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4294329504 = 253414325373
BaseRepresentation
bin1111111111110110…
…0100010010100000
3102002021112112121220
43333331210102200
532243322021004
61550042215040
7211263125043
oct37775442240
912067475556
104294329504
111904045353
129ba1b4480
135358b549a
142ca48cc5a
151a2013dd9
hexfff644a0

4294329504 has 96 divisors (see below), whose sum is σ = 11816570304. Its totient is φ = 1363998720.

The previous prime is 4294329503. The next prime is 4294329551. The reversal of 4294329504 is 4059234924.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (4294329503) 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, 156562 + ... + 181934.

It is an arithmetic number, because the mean of its divisors is an integer number (123089274).

Almost surely, 24294329504 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 4294329504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5908285152).

4294329504 is an abundant number, since it is smaller than the sum of its proper divisors (7522240800).

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

4294329504 is a wasteful number, since it uses less digits than its factorization.

4294329504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25470 (or 25462 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 4294329504 is about 65531.1338525437. The cubic root of 4294329504 is about 1625.4182123906.

The spelling of 4294329504 in words is "four billion, two hundred ninety-four million, three hundred twenty-nine thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 43 48 82 86 96 123 129 164 172 246 258 328 344 492 516 656 688 984 1032 1312 1376 1763 1968 2064 3526 3936 4128 5289 7052 10578 14104 21156 25373 28208 42312 50746 56416 76119 84624 101492 152238 169248 202984 304476 405968 608952 811936 1040293 1091039 1217904 2080586 2182078 2435808 3120879 3273117 4161172 4364156 6241758 6546234 8322344 8728312 12483516 13092468 16644688 17456624 24967032 26184936 33289376 34913248 44732599 49934064 52369872 89465198 99868128 104739744 134197797 178930396 268395594 357860792 536791188 715721584 1073582376 1431443168 2147164752 4294329504