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88023012 = 223721131439
BaseRepresentation
bin1010011111100…
…01111111100100
320010122000212120
411033301333210
5140013214022
612422345540
72116116600
oct517617744
9203560776
1088023012
1145760aa0
122558b2b0
131530c12c
14b994500
157adad5c
hex53f1fe4

88023012 has 144 divisors (see below), whose sum is σ = 269660160. Its totient is φ = 22075200.

The previous prime is 88023011. The next prime is 88023017. The reversal of 88023012 is 21032088.

It is not an unprimeable number, because it can be changed into a prime (88023011) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 200289 + ... + 200727.

It is an arithmetic number, because the mean of its divisors is an integer number (1872640).

Almost surely, 288023012 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 88023012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134830080).

88023012 is an abundant number, since it is smaller than the sum of its proper divisors (181637148).

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

88023012 is a wasteful number, since it uses less digits than its factorization.

88023012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 88023012 is about 9382.0579831932. The cubic root of 88023012 is about 444.8347861210.

The spelling of 88023012 in words is "eighty-eight million, twenty-three thousand, twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 31 33 42 44 49 62 66 77 84 93 98 124 132 147 154 186 196 217 231 294 308 341 372 434 439 462 539 588 651 682 868 878 924 1023 1078 1302 1317 1364 1519 1617 1756 2046 2156 2387 2604 2634 3038 3073 3234 4092 4557 4774 4829 5268 6076 6146 6468 7161 9114 9219 9548 9658 12292 13609 14322 14487 16709 18228 18438 19316 21511 27218 28644 28974 33418 33803 36876 40827 43022 50127 54436 57948 64533 66836 67606 81654 86044 95263 100254 101409 129066 135212 149699 163308 190526 200508 202818 236621 258132 285789 299398 381052 405636 449097 473242 571578 598796 666841 709863 898194 946484 1047893 1143156 1333682 1419726 1796388 2000523 2095786 2667364 2839452 3143679 4001046 4191572 6287358 7335251 8002092 12574716 14670502 22005753 29341004 44011506 88023012