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132625472 = 2671915581
BaseRepresentation
bin1111110011110…
…11010001000000
3100020120001221112
413321323101000
5232423003342
621054342452
73200204120
oct771732100
9306501845
10132625472
1168955531
12384baa28
1321627815
1413884c80
15b99b682
hex7e7b440

132625472 has 56 divisors (see below), whose sum is σ = 316626240. Its totient is φ = 53844480.

The previous prime is 132625469. The next prime is 132625477. The reversal of 132625472 is 274526231.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (132625477) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 722 + ... + 16302.

It is an arithmetic number, because the mean of its divisors is an integer number (5654040).

Almost surely, 2132625472 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 132625472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158313120).

132625472 is an abundant number, since it is smaller than the sum of its proper divisors (184000768).

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

132625472 is a wasteful number, since it uses less digits than its factorization.

132625472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15619 (or 15609 counting only the distinct ones).

The product of its digits is 20160, while the sum is 32.

The square root of 132625472 is about 11516.3132989686. The cubic root of 132625472 is about 509.9672822789.

The spelling of 132625472 in words is "one hundred thirty-two million, six hundred twenty-five thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 152 224 266 304 448 532 608 1064 1216 2128 4256 8512 15581 31162 62324 109067 124648 218134 249296 296039 436268 498592 592078 872536 997184 1184156 1745072 2072273 2368312 3490144 4144546 4736624 6980288 8289092 9473248 16578184 18946496 33156368 66312736 132625472