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132398448 = 243713171783
BaseRepresentation
bin1111110010000…
…11110101110000
3100020010112112020
413321003311300
5232343222243
621045431440
73165240210
oct771036560
9306115466
10132398448
116880aa06
123840b580
13215783a0
1413826240
15b954283
hex7e43d70

132398448 has 160 divisors (see below), whose sum is σ = 445971456. Its totient is φ = 32845824.

The previous prime is 132398443. The next prime is 132398477. The reversal of 132398448 is 844893231.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132398443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73365 + ... + 75147.

Almost surely, 2132398448 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 132398448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222985728).

132398448 is an abundant number, since it is smaller than the sum of its proper divisors (313573008).

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

132398448 is a wasteful number, since it uses less digits than its factorization.

132398448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831 (or 1825 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 132398448 is about 11506.4524506904. The cubic root of 132398448 is about 509.6761342481.

The spelling of 132398448 in words is "one hundred thirty-two million, three hundred ninety-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 17 21 24 26 28 34 39 42 48 51 52 56 68 78 84 91 102 104 112 119 136 156 168 182 204 208 221 238 272 273 312 336 357 364 408 442 476 546 624 663 714 728 816 884 952 1092 1326 1428 1456 1547 1768 1783 1904 2184 2652 2856 3094 3536 3566 4368 4641 5304 5349 5712 6188 7132 9282 10608 10698 12376 12481 14264 18564 21396 23179 24752 24962 28528 30311 37128 37443 42792 46358 49924 60622 69537 74256 74886 85584 90933 92716 99848 121244 139074 149772 162253 181866 185432 199696 212177 242488 278148 299544 324506 363732 370864 394043 424354 484976 486759 556296 599088 636531 649012 727464 788086 848708 973518 1112592 1182129 1273062 1298024 1454928 1576172 1697416 1947036 2364258 2546124 2596048 2758301 3152344 3394832 3894072 4728516 5092248 5516602 6304688 7788144 8274903 9457032 10184496 11033204 16549806 18914064 22066408 33099612 44132816 66199224 132398448