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88298540 = 22511331107
BaseRepresentation
bin1010100001101…
…01010000101100
320011011000211022
411100311100230
5140101023130
612432313312
72121345101
oct520652054
9204130738
1088298540
114592a000
12256a2838
13153a7675
14ba26aa8
157b427e5
hex543542c

88298540 has 96 divisors (see below), whose sum is σ = 212502528. Its totient is φ = 30782400.

The previous prime is 88298531. The next prime is 88298569. The reversal of 88298540 is 4589288.

It is a super-2 number, since 2×882985402 = 15593264332263200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 88298491 and 88298500.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 825167 + ... + 825273.

It is an arithmetic number, because the mean of its divisors is an integer number (2213568).

Almost surely, 288298540 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 88298540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106251264).

88298540 is an abundant number, since it is smaller than the sum of its proper divisors (124203988).

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

88298540 is a wasteful number, since it uses less digits than its factorization.

88298540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 44.

The square root of 88298540 is about 9396.7302823908. The cubic root of 88298540 is about 445.2984405492.

The spelling of 88298540 in words is "eighty-eight million, two hundred ninety-eight thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 107 110 121 124 155 214 220 242 310 341 428 484 535 605 620 682 1070 1177 1210 1331 1364 1705 2140 2354 2420 2662 3317 3410 3751 4708 5324 5885 6634 6655 6820 7502 11770 12947 13268 13310 15004 16585 18755 23540 25894 26620 33170 36487 37510 41261 51788 64735 66340 72974 75020 82522 129470 142417 145948 165044 182435 206305 258940 284834 364870 401357 412610 569668 712085 729740 802714 825220 1424170 1605428 2006785 2848340 4013570 4414927 8027140 8829854 17659708 22074635 44149270 88298540