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99520576 = 26292432
BaseRepresentation
bin1011110111010…
…01000001000000
320221021011120021
411323221001000
5200434124301
613513023224
72315624311
oct573510100
9227234507
1099520576
11511a4311
12293b4b14
131780651c
14d308608
158b0c8a1
hex5ee9040

99520576 has 63 divisors (see below), whose sum is σ = 209397981. Its totient is φ = 46927104.

The previous prime is 99520559. The next prime is 99520579. The reversal of 99520576 is 67502599.

It is a happy number.

The square root of 99520576 is 9976.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 52186176 + 47334400 = 7224^2 + 6880^2 .

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (99520579) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2314411 + ... + 2314453.

Almost surely, 299520576 is an apocalyptic number.

99520576 is the 9976-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99520576

99520576 is an abundant number, since it is smaller than the sum of its proper divisors (109877405).

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

99520576 is an equidigital number, since it uses as much as digits as its factorization.

99520576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 43.

The cubic root of 99520576 is about 463.4159317689.

The spelling of 99520576 in words is "ninety-nine million, five hundred twenty thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 29 32 43 58 64 86 116 172 232 344 464 688 841 928 1247 1376 1682 1849 1856 2494 2752 3364 3698 4988 6728 7396 9976 13456 14792 19952 26912 29584 36163 39904 53621 53824 59168 72326 79808 107242 118336 144652 214484 289304 428968 578608 857936 1157216 1555009 1715872 2314432 3110018 3431744 6220036 12440072 24880144 49760288 99520576