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89688924 = 223313127503
BaseRepresentation
bin1010101100010…
…00101101011100
320020202200002000
411112020231130
5140430021144
612522202300
72136225513
oct526105534
9206680060
1089688924
1146699686
1226053390
1315773490
14bca967a
157d19769
hex5588b5c

89688924 has 96 divisors (see below), whose sum is σ = 252887040. Its totient is φ = 27324864.

The previous prime is 89688917. The next prime is 89688931. The reversal of 89688924 is 42988698.

It is an interprime number because it is at equal distance from previous prime (89688917) and next prime (89688931).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (1990656) is a multiple of the sum of its prime divisors (648).

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 31 ways as a sum of consecutive naturals, for example, 178057 + ... + 178559.

It is an arithmetic number, because the mean of its divisors is an integer number (2634240).

Almost surely, 289688924 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 89688924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126443520).

89688924 is an abundant number, since it is smaller than the sum of its proper divisors (163198116).

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

89688924 is a wasteful number, since it uses less digits than its factorization.

89688924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 648 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 89688924 is about 9470.4236441671. The cubic root of 89688924 is about 447.6235610652.

The spelling of 89688924 in words is "eighty-nine million, six hundred eighty-eight thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 127 156 234 254 351 381 468 503 508 702 762 1006 1143 1404 1509 1524 1651 2012 2286 3018 3302 3429 4527 4572 4953 6036 6539 6604 6858 9054 9906 13078 13581 13716 14859 18108 19617 19812 26156 27162 29718 39234 44577 54324 58851 59436 63881 78468 89154 117702 127762 176553 178308 191643 235404 255524 353106 383286 574929 706212 766572 830453 1149858 1660906 1724787 2299716 2491359 3321812 3449574 4982718 6899148 7474077 9965436 14948154 22422231 29896308 44844462 89688924