Search a number
-
+
89812992 = 21237309
BaseRepresentation
bin1010101101001…
…11000000000000
320020222222021010
411112213000000
5140443003432
612525000520
72140253313
oct526470000
9206888233
1089812992
1146773915
12260b3140
13157b7aa9
14bcdc97a
157d413cc
hex55a7000

89812992 has 52 divisors (see below), whose sum is σ = 239504840. Its totient is φ = 29933568.

The previous prime is 89812991. The next prime is 89812993. The reversal of 89812992 is 29921898.

It is an interprime number because it is at equal distance from previous prime (89812991) and next prime (89812993).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89812991) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8634 + ... + 15942.

Almost surely, 289812992 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 89812992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119752420).

89812992 is an abundant number, since it is smaller than the sum of its proper divisors (149691848).

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

89812992 is an equidigital number, since it uses as much as digits as its factorization.

89812992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7336 (or 7314 counting only the distinct ones).

The product of its digits is 186624, while the sum is 48.

The square root of 89812992 is about 9476.9716682071. The cubic root of 89812992 is about 447.8298673713.

The spelling of 89812992 in words is "eighty-nine million, eight hundred twelve thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 7309 12288 14618 21927 29236 43854 58472 87708 116944 175416 233888 350832 467776 701664 935552 1403328 1871104 2806656 3742208 5613312 7484416 11226624 14968832 22453248 29937664 44906496 89812992