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89938752 = 2633531327
BaseRepresentation
bin1010101110001…
…01101101000000
320021020100202220
411113011231000
5141011020002
612531411040
72141316051
oct527055500
9207210686
1089938752
114684a352
1226153a80
13158300c7
14bd32728
157d687bc
hex55c5b40

89938752 has 56 divisors (see below), whose sum is σ = 238816896. Its totient is φ = 29872128.

The previous prime is 89938703. The next prime is 89938759. The reversal of 89938752 is 25783998.

It is a super-2 number, since 2×899387522 = 16177958222635008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 89938695 and 89938704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89938759) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67113 + ... + 68439.

Almost surely, 289938752 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 89938752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119408448).

89938752 is an abundant number, since it is smaller than the sum of its proper divisors (148878144).

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

89938752 is a wasteful number, since it uses less digits than its factorization.

89938752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695 (or 1685 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 51.

The square root of 89938752 is about 9483.6043780833. The cubic root of 89938752 is about 448.0387934094.

The spelling of 89938752 in words is "eighty-nine million, nine hundred thirty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 353 706 1059 1327 1412 2118 2654 2824 3981 4236 5308 5648 7962 8472 10616 11296 15924 16944 21232 22592 31848 33888 42464 63696 67776 84928 127392 254784 468431 936862 1405293 1873724 2810586 3747448 5621172 7494896 11242344 14989792 22484688 29979584 44969376 89938752