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325131972 = 223116797379
BaseRepresentation
bin10011011000010…
…001111011000100
3211122210102012220
4103120101323010
51131213210342
652132412340
711025401424
oct2330217304
9748712186
10325131972
1115758a510
1290a770b0
135248a0a9
1431276484
151d8255ec
hex13611ec4

325131972 has 96 divisors (see below), whose sum is σ = 850859520. Its totient is φ = 95800320.

The previous prime is 325131967. The next prime is 325131973. The reversal of 325131972 is 279131523.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (325131973) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 857679 + ... + 858057.

It is an arithmetic number, because the mean of its divisors is an integer number (8863120).

Almost surely, 2325131972 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 325131972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425429760).

325131972 is an abundant number, since it is smaller than the sum of its proper divisors (525727548).

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

325131972 is a wasteful number, since it uses less digits than its factorization.

325131972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 559 counting only the distinct ones).

The product of its digits is 11340, while the sum is 33.

The square root of 325131972 is about 18031.4162505334. The cubic root of 325131972 is about 687.6274827837.

The spelling of 325131972 in words is "three hundred twenty-five million, one hundred thirty-one thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 67 97 132 134 194 201 268 291 379 388 402 582 737 758 804 1067 1137 1164 1474 1516 2134 2211 2274 2948 3201 4169 4268 4422 4548 6402 6499 8338 8844 12507 12804 12998 16676 19497 25014 25393 25996 36763 38994 50028 50786 71489 73526 76179 77988 101572 110289 142978 147052 152358 214467 220578 279323 285956 304716 404393 428934 441156 558646 808786 837969 857868 1117292 1213179 1617572 1675938 2426358 2463121 3351876 4852716 4926242 7389363 9852484 14778726 27094331 29557452 54188662 81282993 108377324 162565986 325131972