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89379288 = 2335231999
BaseRepresentation
bin1010101001111…
…01000111011000
320020011221100000
411110331013120
5140340114123
612511413000
72133466005
oct524750730
9206157300
1089379288
11464a7a89
1225b24160
131569556b
14bc288ac
157ca7b43
hex553d1d8

89379288 has 96 divisors (see below), whose sum is σ = 262080000. Its totient is φ = 28483488.

The previous prime is 89379263. The next prime is 89379337. The reversal of 89379288 is 88297398.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43713 + ... + 45711.

It is an arithmetic number, because the mean of its divisors is an integer number (2730000).

Almost surely, 289379288 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 89379288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131040000).

89379288 is an abundant number, since it is smaller than the sum of its proper divisors (172700712).

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

89379288 is a wasteful number, since it uses less digits than its factorization.

89379288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2043 (or 2027 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 89379288 is about 9454.0619841421. The cubic root of 89379288 is about 447.1078519989.

It can be divided in two parts, 8937 and 9288, that added together give a square (18225 = 1352).

The spelling of 89379288 in words is "eighty-nine million, three hundred seventy-nine thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 81 92 108 138 162 184 207 216 243 276 324 414 486 552 621 648 828 972 1242 1656 1863 1944 1999 2484 3726 3998 4968 5589 5997 7452 7996 11178 11994 14904 15992 17991 22356 23988 35982 44712 45977 47976 53973 71964 91954 107946 137931 143928 161919 183908 215892 275862 323838 367816 413793 431784 485757 551724 647676 827586 971514 1103448 1241379 1295352 1655172 1943028 2482758 3310344 3724137 3886056 4965516 7448274 9931032 11172411 14896548 22344822 29793096 44689644 89379288