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88086438 = 2321131113127
BaseRepresentation
bin1010100000000…
…01011110100110
320010202020212200
411100001132212
5140022231223
612423555330
72116502526
oct520013646
9203666780
1088086438
11457a4710
12255bbb46
1315331c6b
14b9ad686
157aeea43
hex54017a6

88086438 has 96 divisors (see below), whose sum is σ = 218529792. Its totient is φ = 25401600.

The previous prime is 88086431. The next prime is 88086461. The reversal of 88086438 is 83468088.

It is a junction number, because it is equal to n+sod(n) for n = 88086393 and 88086402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88086431) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 693531 + ... + 693657.

It is an arithmetic number, because the mean of its divisors is an integer number (2276352).

Almost surely, 288086438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88086438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109264896).

88086438 is an abundant number, since it is smaller than the sum of its proper divisors (130443354).

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

88086438 is a wasteful number, since it uses less digits than its factorization.

88086438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 88086438 is about 9385.4375497363. The cubic root of 88086438 is about 444.9416040866.

The spelling of 88086438 in words is "eighty-eight million, eighty-six thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 113 127 186 198 226 254 279 339 341 381 558 678 682 762 1017 1023 1143 1243 1397 2034 2046 2286 2486 2794 3069 3503 3729 3937 4191 6138 7006 7458 7874 8382 10509 11187 11811 12573 14351 21018 22374 23622 25146 28702 31527 35433 38533 43053 43307 63054 70866 77066 86106 86614 115599 129159 129921 157861 231198 258318 259842 315722 346797 389763 444881 473583 693594 779526 889762 947166 1334643 1420749 2669286 2841498 4003929 4893691 8007858 9787382 14681073 29362146 44043219 88086438