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99498820 = 22519213781
BaseRepresentation
bin1011110111000…
…11101101000100
320221020001201111
411323203231010
5200432430240
613512334404
72315504011
oct573435504
9227201644
1099498820
1151189a33
12293a4404
13177c9655
14d300708
158b061ea
hex5ee3b44

99498820 has 36 divisors (see below), whose sum is σ = 220539564. Its totient is φ = 37702080.

The previous prime is 99498799. The next prime is 99498821. The reversal of 99498820 is 2889499.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 46267204 + 53231616 = 6802^2 + 7296^2 .

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (99498821) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 330 + ... + 14110.

It is an arithmetic number, because the mean of its divisors is an integer number (6126099).

Almost surely, 299498820 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 99498820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110269782).

99498820 is an abundant number, since it is smaller than the sum of its proper divisors (121040744).

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

99498820 is a wasteful number, since it uses less digits than its factorization.

99498820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13828 (or 13807 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 49.

The square root of 99498820 is about 9974.9095233992. The cubic root of 99498820 is about 463.3821604887.

It can be divided in two parts, 9949 and 8820, that added together give a square (18769 = 1372).

The spelling of 99498820 in words is "ninety-nine million, four hundred ninety-eight thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 361 380 722 1444 1805 3610 7220 13781 27562 55124 68905 137810 261839 275620 523678 1047356 1309195 2618390 4974941 5236780 9949882 19899764 24874705 49749410 99498820