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89964432 = 2438857
BaseRepresentation
bin1010101110010…
…11111110010000
320021021200000000
411113023332100
5141012330212
612532130000
72141453655
oct527137620
9207250000
1089964432
1146867678
1226166900
131583b9bc
14bd3bc2c
157d711dc
hex55cbf90

89964432 has 90 divisors (see below), whose sum is σ = 261750918. Its totient is φ = 29953152.

The previous prime is 89964401. The next prime is 89964443. The reversal of 89964432 is 23446998.

It can be written as a sum of positive squares in only one way, i.e., 88284816 + 1679616 = 9396^2 + 1296^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 104548 + ... + 105404.

Almost surely, 289964432 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 89964432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130875459).

89964432 is an abundant number, since it is smaller than the sum of its proper divisors (171786486).

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

89964432 is an frugal number, since it uses more digits than its factorization.

89964432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 862 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 89964432 is about 9484.9581970613. The cubic root of 89964432 is about 448.0814318386.

The spelling of 89964432 in words is "eighty-nine million, nine hundred sixty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 857 972 1296 1458 1714 1944 2187 2571 2916 3428 3888 4374 5142 5832 6561 6856 7713 8748 10284 11664 13122 13712 15426 17496 20568 23139 26244 30852 34992 41136 46278 52488 61704 69417 92556 104976 123408 138834 185112 208251 277668 370224 416502 555336 624753 833004 1110672 1249506 1666008 1874259 2499012 3332016 3748518 4998024 5622777 7497036 9996048 11245554 14994072 22491108 29988144 44982216 89964432