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132625464 = 23337233641
BaseRepresentation
bin1111110011110…
…11010000111000
3100020120001221020
413321323100320
5232423003324
621054342440
73200204106
oct771732070
9306501836
10132625464
1168955524
12384baa20
132162780a
1413884c76
15b99b679
hex7e7b438

132625464 has 64 divisors (see below), whose sum is σ = 342519840. Its totient is φ = 42762240.

The previous prime is 132625463. The next prime is 132625469. The reversal of 132625464 is 464526231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132625463) 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, 206584 + ... + 207224.

Almost surely, 2132625464 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 132625464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171259920).

132625464 is an abundant number, since it is smaller than the sum of its proper divisors (209894376).

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

132625464 is a wasteful number, since it uses less digits than its factorization.

132625464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 916 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 132625464 is about 11516.3129516352. The cubic root of 132625464 is about 509.9672720251.

The spelling of 132625464 in words is "one hundred thirty-two million, six hundred twenty-five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 233 296 444 466 641 699 888 932 1282 1398 1864 1923 2564 2796 3846 5128 5592 7692 8621 15384 17242 23717 25863 34484 47434 51726 68968 71151 94868 103452 142302 149353 189736 206904 284604 298706 448059 569208 597412 896118 1194824 1792236 3584472 5526061 11052122 16578183 22104244 33156366 44208488 66312732 132625464