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88690644 = 22327714957
BaseRepresentation
bin1010100100101…
…00111111010100
320011212221200200
411102110333110
5140201100034
612444540500
72124600210
oct522247724
9204787620
1088690644
1146077659
1225851730
13154b3c93
14bac9940
157bbda99
hex5494fd4

88690644 has 72 divisors (see below), whose sum is σ = 259878528. Its totient is φ = 24978240.

The previous prime is 88690643. The next prime is 88690661. The reversal of 88690644 is 44609688.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 88690644.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88690643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15414 + ... + 20370.

It is an arithmetic number, because the mean of its divisors is an integer number (3609424).

Almost surely, 288690644 is an apocalyptic number.

88690644 is a gapful number since it is divisible by the number (84) 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 88690644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129939264).

88690644 is an abundant number, since it is smaller than the sum of its proper divisors (171187884).

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

88690644 is a wasteful number, since it uses less digits than its factorization.

88690644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5045 (or 5040 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 88690644 is about 9417.5710244203. The cubic root of 88690644 is about 445.9566072793.

The spelling of 88690644 in words is "eighty-eight million, six hundred ninety thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 71 84 126 142 213 252 284 426 497 639 852 994 1278 1491 1988 2556 2982 4473 4957 5964 8946 9914 14871 17892 19828 29742 34699 44613 59484 69398 89226 104097 138796 178452 208194 312291 351947 416388 624582 703894 1055841 1249164 1407788 2111682 2463629 3167523 4223364 4927258 6335046 7390887 9854516 12670092 14781774 22172661 29563548 44345322 88690644