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132553472 = 282272281
BaseRepresentation
bin1111110011010…
…01101100000000
3100020102102011212
413321221230000
5232413202342
621053025252
73166454162
oct771515400
9306372155
10132553472
1168906427
1238485228
1321600b0c
1413866932
15b985182
hex7e69b00

132553472 has 36 divisors (see below), whose sum is σ = 265871256. Its totient is φ = 65955840.

The previous prime is 132553453. The next prime is 132553501. The reversal of 132553472 is 274355231.

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

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, 56972 + ... + 59252.

Almost surely, 2132553472 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 132553472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132935628).

132553472 is an abundant number, since it is smaller than the sum of its proper divisors (133317784).

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

132553472 is an equidigital number, since it uses as much as digits as its factorization.

132553472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2524 (or 2510 counting only the distinct ones).

The product of its digits is 25200, while the sum is 32.

The square root of 132553472 is about 11513.1868741891. The cubic root of 132553472 is about 509.8749815310.

The spelling of 132553472 in words is "one hundred thirty-two million, five hundred fifty-three thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 227 256 454 908 1816 2281 3632 4562 7264 9124 14528 18248 29056 36496 58112 72992 145984 291968 517787 583936 1035574 2071148 4142296 8284592 16569184 33138368 66276736 132553472