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99828450 = 234521572
BaseRepresentation
bin1011111001101…
…00001011100010
320221211210220000
411330310023202
5201024002300
613523400430
72321346021
oct574641342
9227753800
1099828450
1151394657
1229523116
13178b36b7
14d3888b8
158b6dc00
hex5f342e2

99828450 has 90 divisors (see below), whose sum is σ = 279153171. Its totient is φ = 26451360.

The previous prime is 99828433. The next prime is 99828493. The reversal of 99828450 is 5482899.

It can be written as a sum of positive squares in 5 ways, for example, as 17363889 + 82464561 = 4167^2 + 9081^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=7065.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 99828396 and 99828405.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 635772 + ... + 635928.

Almost surely, 299828450 is an apocalyptic number.

99828450 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 99828450

99828450 is an abundant number, since it is smaller than the sum of its proper divisors (179324721).

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

99828450 is a wasteful number, since it uses less digits than its factorization.

99828450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 99828450 is about 9991.4188181659. The cubic root of 99828450 is about 463.8933099181.

The spelling of 99828450 in words is "ninety-nine million, eight hundred twenty-eight thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 157 162 225 270 314 405 450 471 675 785 810 942 1350 1413 1570 2025 2355 2826 3925 4050 4239 4710 7065 7850 8478 11775 12717 14130 21195 23550 24649 25434 35325 42390 49298 63585 70650 73947 105975 123245 127170 147894 211950 221841 246490 317925 369735 443682 616225 635850 665523 739470 1109205 1232450 1331046 1848675 1996569 2218410 3327615 3697350 3993138 5546025 6655230 9982845 11092050 16638075 19965690 33276150 49914225 99828450