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99540528 = 24329431663
BaseRepresentation
bin1011110111011…
…01111000110000
320221022011221020
411323231320300
5200440244103
613513255440
72316036423
oct573557060
9227264836
1099540528
11512082aa
1229404580
1317812629
14d3119ba
158b13753
hex5eede30

99540528 has 80 divisors (see below), whose sum is σ = 272363520. Its totient is φ = 31272192.

The previous prime is 99540523. The next prime is 99540533. The reversal of 99540528 is 82504599.

It is a Cunningham number, because it is equal to 99772-1.

It is an interprime number because it is at equal distance from previous prime (99540523) and next prime (99540533).

It is a self number, because there is not a number n which added to its sum of digits gives 99540528.

It is not an unprimeable number, because it can be changed into a prime (99540523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59025 + ... + 60687.

It is an arithmetic number, because the mean of its divisors is an integer number (3404544).

Almost surely, 299540528 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 99540528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136181760).

99540528 is an abundant number, since it is smaller than the sum of its proper divisors (172822992).

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

99540528 is a wasteful number, since it uses less digits than its factorization.

99540528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1746 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The square root of 99540528 is about 9976.9999498847. Note that the first 4 decimals coincide. The cubic root of 99540528 is about 463.4468984200.

The spelling of 99540528 in words is "ninety-nine million, five hundred forty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 43 48 58 86 87 116 129 172 174 232 258 344 348 464 516 688 696 1032 1247 1392 1663 2064 2494 3326 3741 4988 4989 6652 7482 9976 9978 13304 14964 19952 19956 26608 29928 39912 48227 59856 71509 79824 96454 143018 144681 192908 214527 286036 289362 385816 429054 572072 578724 771632 858108 1144144 1157448 1716216 2073761 2314896 3432432 4147522 6221283 8295044 12442566 16590088 24885132 33180176 49770264 99540528