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88661352 = 233132941239
BaseRepresentation
bin1010100100011…
…01110101101000
320011211110111210
411102031311220
5140144130402
612444153120
72124415623
oct522156550
9204743453
1088661352
114605764a
12258387a0
13154a3850
14babcdba
157bb506c
hex548dd68

88661352 has 128 divisors (see below), whose sum is σ = 254016000. Its totient is φ = 25589760.

The previous prime is 88661327. The next prime is 88661359. The reversal of 88661352 is 25316688.

It is a happy number.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 88661352.

It is not an unprimeable number, because it can be changed into a prime (88661359) by changing a digit.

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, 370849 + ... + 371087.

It is an arithmetic number, because the mean of its divisors is an integer number (1984500).

Almost surely, 288661352 is an apocalyptic number.

88661352 is a gapful number since it is divisible by the number (82) 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 88661352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127008000).

88661352 is an abundant number, since it is smaller than the sum of its proper divisors (165354648).

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

88661352 is a wasteful number, since it uses less digits than its factorization.

88661352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 327 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 88661352 is about 9416.0157179138. The cubic root of 88661352 is about 445.9075062741.

The spelling of 88661352 in words is "eighty-eight million, six hundred sixty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 39 41 52 58 78 82 87 104 116 123 156 164 174 232 239 246 312 328 348 377 478 492 533 696 717 754 956 984 1066 1131 1189 1434 1508 1599 1912 2132 2262 2378 2868 3016 3107 3198 3567 4264 4524 4756 5736 6214 6396 6931 7134 9048 9321 9512 9799 12428 12792 13862 14268 15457 18642 19598 20793 24856 27724 28536 29397 30914 37284 39196 41586 46371 55448 58794 61828 74568 78392 83172 90103 92742 117588 123656 127387 166344 180206 185484 235176 254774 270309 284171 360412 370968 382161 509548 540618 568342 720824 764322 852513 1019096 1081236 1136684 1528644 1705026 2162472 2273368 3057288 3410052 3694223 6820104 7388446 11082669 14776892 22165338 29553784 44330676 88661352