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99252500 = 225429372
BaseRepresentation
bin1011110101001…
…11100100010100
320220202112211112
411322213210110
5200402040000
613503154152
72313426614
oct572474424
9226675745
1099252500
1151030966
12292a5958
13177414b9
14d278a44
158aa8235
hex5ea7914

99252500 has 90 divisors (see below), whose sum is σ = 230762070. Its totient is φ = 37296000.

The previous prime is 99252499. The next prime is 99252509. The reversal of 99252500 is 525299.

It can be written as a sum of positive squares in 15 ways, for example, as 69789316 + 29463184 = 8354^2 + 5428^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99252509) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2682482 + ... + 2682518.

It is an arithmetic number, because the mean of its divisors is an integer number (2564023).

Almost surely, 299252500 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 99252500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115381035).

99252500 is an abundant number, since it is smaller than the sum of its proper divisors (131509570).

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

99252500 is a wasteful number, since it uses less digits than its factorization.

99252500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 32.

The square root of 99252500 is about 9962.5548931988. The cubic root of 99252500 is about 462.9994604313. Note that the first 3 decimals are identical.

Adding to 99252500 its reverse (525299), we get a palindrome (99777799).

The spelling of 99252500 in words is "ninety-nine million, two hundred fifty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 29 37 50 58 74 100 116 125 145 148 185 250 290 370 500 580 625 725 740 925 1073 1250 1369 1450 1850 2146 2500 2738 2900 3625 3700 4292 4625 5365 5476 6845 7250 9250 10730 13690 14500 18125 18500 21460 23125 26825 27380 34225 36250 39701 46250 53650 68450 72500 79402 92500 107300 134125 136900 158804 171125 198505 268250 342250 397010 536500 670625 684500 794020 855625 992525 1341250 1711250 1985050 2682500 3422500 3970100 4962625 9925250 19850500 24813125 49626250 99252500