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88084542 = 23713295563
BaseRepresentation
bin1010100000000…
…01000000111110
320010202011021110
411100001000332
5140022201132
612423542450
72116464150
oct520010076
9203664243
1088084542
11457a3247
12255baa26
1315331140
14b9acad0
157aee1cc
hex540103e

88084542 has 64 divisors (see below), whose sum is σ = 224340480. Its totient is φ = 22425984.

The previous prime is 88084541. The next prime is 88084553. The reversal of 88084542 is 24548088.

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 88084542.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88084541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13053 + ... + 18615.

It is an arithmetic number, because the mean of its divisors is an integer number (3505320).

Almost surely, 288084542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88084542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112170240).

88084542 is an abundant number, since it is smaller than the sum of its proper divisors (136255938).

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

88084542 is a wasteful number, since it uses less digits than its factorization.

88084542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5617.

The product of its (nonzero) digits is 81920, while the sum is 39.

The square root of 88084542 is about 9385.3365416484. The cubic root of 88084542 is about 444.9384117097.

The spelling of 88084542 in words is "eighty-eight million, eighty-four thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 29 39 42 58 78 87 91 174 182 203 273 377 406 546 609 754 1131 1218 2262 2639 5278 5563 7917 11126 15834 16689 33378 38941 72319 77882 116823 144638 161327 216957 233646 322654 433914 483981 506233 967962 1012466 1129289 1518699 2097251 2258578 3037398 3387867 4194502 6291753 6775734 12583506 14680757 29361514 44042271 88084542