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88892540 = 225112913933
BaseRepresentation
bin1010100110001…
…10010001111100
320012021012122022
411103012101330
5140224030130
612453135312
72126400632
oct523062174
9205235568
1088892540
11461a5310
122592a538
1315554b49
14bb3d352
157c0d7e5
hex54c647c

88892540 has 48 divisors (see below), whose sum is σ = 210682080. Its totient is φ = 31207680.

The previous prime is 88892521. The next prime is 88892543. The reversal of 88892540 is 4529888.

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 = 88892491 and 88892500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88892543) 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 15 ways as a sum of consecutive naturals, for example, 587 + ... + 13346.

It is an arithmetic number, because the mean of its divisors is an integer number (4389210).

Almost surely, 288892540 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 88892540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105341040).

88892540 is an abundant number, since it is smaller than the sum of its proper divisors (121789540).

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

88892540 is a wasteful number, since it uses less digits than its factorization.

88892540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13982 (or 13980 counting only the distinct ones).

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

The square root of 88892540 is about 9428.2840432393. The cubic root of 88892540 is about 446.2947437397.

The spelling of 88892540 in words is "eighty-eight million, eight hundred ninety-two thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 638 1276 1595 3190 6380 13933 27866 55732 69665 139330 153263 278660 306526 404057 613052 766315 808114 1532630 1616228 2020285 3065260 4040570 4444627 8081140 8889254 17778508 22223135 44446270 88892540