Search a number
-
+
88906608 = 24327193457
BaseRepresentation
bin1010100110010…
…01101101110000
320012021220221100
411103021231300
5140230002413
612453324400
72126456640
oct523115560
9205256840
1088906608
114620493a
1225936700
131555b37b
14bb44520
157c12a73
hex54c9b70

88906608 has 120 divisors (see below), whose sum is σ = 286458848. Its totient is φ = 25214976.

The previous prime is 88906589. The next prime is 88906619. The reversal of 88906608 is 80660988.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 194316 + ... + 194772.

Almost surely, 288906608 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 88906608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143229424).

88906608 is an abundant number, since it is smaller than the sum of its proper divisors (197552240).

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

88906608 is a wasteful number, since it uses less digits than its factorization.

88906608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 88906608 is about 9429.0300667672. The cubic root of 88906608 is about 446.3182858100.

The spelling of 88906608 in words is "eighty-eight million, nine hundred six thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 193 252 336 386 457 504 579 772 914 1008 1158 1351 1371 1544 1737 1828 2316 2702 2742 3088 3199 3474 3656 4053 4113 4632 5404 5484 6398 6948 7312 8106 8226 9264 9597 10808 10968 12159 12796 13896 16212 16452 19194 21616 21936 24318 25592 27792 28791 32424 32904 38388 48636 51184 57582 64848 65808 76776 88201 97272 115164 153552 176402 194544 230328 264603 352804 460656 529206 617407 705608 793809 1058412 1234814 1411216 1587618 1852221 2116824 2469628 3175236 3704442 4233648 4939256 5556663 6350472 7408884 9878512 11113326 12700944 14817768 22226652 29635536 44453304 88906608