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132388248 = 233172967167
BaseRepresentation
bin1111110010000…
…01010110011000
3100020010000112110
413321001112120
5232342410443
621045312320
73165165366
oct771012630
9306100473
10132388248
1168803283
12384056a0
1321573855
1413822636
15b951233
hex7e41598

132388248 has 128 divisors (see below), whose sum is σ = 370137600. Its totient is φ = 39266304.

The previous prime is 132388213. The next prime is 132388261. The reversal of 132388248 is 842883231.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 792661 + ... + 792827.

It is an arithmetic number, because the mean of its divisors is an integer number (2891700).

Almost surely, 2132388248 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 132388248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185068800).

132388248 is an abundant number, since it is smaller than the sum of its proper divisors (237749352).

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

132388248 is a wasteful number, since it uses less digits than its factorization.

132388248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 285 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 132388248 is about 11506.0092125811. The cubic root of 132388248 is about 509.6630453986.

The spelling of 132388248 in words is "one hundred thirty-two million, three hundred eighty-eight thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 29 34 51 58 67 68 87 102 116 134 136 167 174 201 204 232 268 334 348 402 408 493 501 536 668 696 804 986 1002 1139 1336 1479 1608 1943 1972 2004 2278 2839 2958 3417 3886 3944 4008 4556 4843 5678 5829 5916 6834 7772 8517 9112 9686 11189 11356 11658 11832 13668 14529 15544 17034 19372 22378 22712 23316 27336 29058 33031 33567 34068 38744 44756 46632 58116 66062 67134 68136 82331 89512 99093 116232 132124 134268 164662 190213 198186 246993 264248 268536 324481 329324 380426 396372 493986 570639 648962 658648 760852 792744 973443 987972 1141278 1297924 1521704 1946886 1975944 2282556 2595848 3893772 4565112 5516177 7787544 11032354 16548531 22064708 33097062 44129416 66194124 132388248