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245429664 = 2532556559
BaseRepresentation
bin11101010000011…
…11010110100000
3122002211010012120
432220033112200
51000312222124
640204224240
76040055244
oct1650172640
9562733176
10245429664
111165a1a37
126a23b080
133bb0236c
142484a424
151682ed79
hexea0f5a0

245429664 has 24 divisors (see below), whose sum is σ = 644253120. Its totient is φ = 81809856.

The previous prime is 245429651. The next prime is 245429683. The reversal of 245429664 is 466924542.

245429664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1278184 + ... + 1278375.

It is an arithmetic number, because the mean of its divisors is an integer number (26843880).

Almost surely, 2245429664 is an apocalyptic number.

245429664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

245429664 is an abundant number, since it is smaller than the sum of its proper divisors (398823456).

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

245429664 is a wasteful number, since it uses less digits than its factorization.

245429664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2556572 (or 2556564 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The square root of 245429664 is about 15666.1949432528. The cubic root of 245429664 is about 626.0980496760.

The spelling of 245429664 in words is "two hundred forty-five million, four hundred twenty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2556559 5113118 7669677 10226236 15339354 20452472 30678708 40904944 61357416 81809888 122714832 245429664