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65252004 = 223191372089
BaseRepresentation
bin1111100011101…
…0101010100100
311112210010220220
43320322222210
5113201031004
610250324340
71421430036
oct370725244
9145703826
1065252004
1133918884
1219a296b0
131069866c
148947c56
155adddd9
hex3e3aaa4

65252004 has 48 divisors (see below), whose sum is σ = 161515200. Its totient is φ = 20445696.

The previous prime is 65251987. The next prime is 65252009. The reversal of 65252004 is 40025256.

65252004 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

65252004 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (65252009) 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, 30192 + ... + 32280.

It is an arithmetic number, because the mean of its divisors is an integer number (3364900).

Almost surely, 265252004 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 65252004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80757600).

65252004 is an abundant number, since it is smaller than the sum of its proper divisors (96263196).

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

65252004 is a wasteful number, since it uses less digits than its factorization.

65252004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2252 (or 2250 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 65252004 is about 8077.8712542352. The cubic root of 65252004 is about 402.5915155255.

The spelling of 65252004 in words is "sixty-five million, two hundred fifty-two thousand, four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 137 228 274 411 548 822 1644 2089 2603 4178 5206 6267 7809 8356 10412 12534 15618 25068 31236 39691 79382 119073 158764 238146 286193 476292 572386 858579 1144772 1717158 3434316 5437667 10875334 16313001 21750668 32626002 65252004