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132298488 = 23337175147
BaseRepresentation
bin1111110001010…
…11011011111000
3100012221110102000
413320223123320
5232332022423
621043341000
73164342610
oct770533370
9305843360
10132298488
11687518a3
1238381760
1321541a3a
14137dba40
15b934843
hex7e2b6f8

132298488 has 128 divisors (see below), whose sum is σ = 444787200. Its totient is φ = 35569152.

The previous prime is 132298469. The next prime is 132298559. The reversal of 132298488 is 884892231.

It is a super-2 number, since 2×1322984882 = 35005779854172288, which contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23131 + ... + 28277.

It is an arithmetic number, because the mean of its divisors is an integer number (3474900).

Almost surely, 2132298488 is an apocalyptic number.

132298488 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132298488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222393600).

132298488 is an abundant number, since it is smaller than the sum of its proper divisors (312488712).

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

132298488 is a wasteful number, since it uses less digits than its factorization.

132298488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5186 (or 5176 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 132298488 is about 11502.1079807138. The cubic root of 132298488 is about 509.5478345231.

The spelling of 132298488 in words is "one hundred thirty-two million, two hundred ninety-eight thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 27 28 34 36 42 51 54 56 63 68 72 84 102 108 119 126 136 153 168 189 204 216 238 252 306 357 378 408 459 476 504 612 714 756 918 952 1071 1224 1428 1512 1836 2142 2856 3213 3672 4284 5147 6426 8568 10294 12852 15441 20588 25704 30882 36029 41176 46323 61764 72058 87499 92646 108087 123528 138969 144116 174998 185292 216174 262497 277938 288232 324261 349996 370584 432348 524994 555876 612493 648522 699992 787491 864696 972783 1049988 1111752 1224986 1297044 1574982 1837479 1945566 2099976 2362473 2449972 2594088 3149964 3674958 3891132 4724946 4899944 5512437 6299928 7349916 7782264 9449892 11024874 14699832 16537311 18899784 22049748 33074622 44099496 66149244 132298488