Search a number
-
+
99417825 = 32521341829
BaseRepresentation
bin1011110110011…
…11111011100001
320221001221121200
411323033323201
5200422332300
613510511413
72315015613
oct573177341
9227057550
1099417825
11511340a1
1229365569
131779b820
14d2bcdb3
158adc200
hex5ecfee1

99417825 has 72 divisors (see below), whose sum is σ = 196680120. Its totient is φ = 47692800.

The previous prime is 99417811. The next prime is 99417839. The reversal of 99417825 is 52871499.

It is an interprime number because it is at equal distance from previous prime (99417811) and next prime (99417839).

It can be written as a sum of positive squares in 12 ways, for example, as 68013009 + 31404816 = 8247^2 + 5604^2 .

It is not a de Polignac number, because 99417825 - 27 = 99417697 is a prime.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 119511 + ... + 120339.

Almost surely, 299417825 is an apocalyptic number.

99417825 is the 5330-th nonagonal number.

It is an amenable number.

99417825 is a deficient number, since it is larger than the sum of its proper divisors (97262295).

99417825 is a wasteful number, since it uses less digits than its factorization.

99417825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 891 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 99417825 is about 9970.8487602611. The cubic root of 99417825 is about 463.2563907337.

It can be divided in two parts, 9941 and 7825, that added together give a triangular number (17766 = T188).

The spelling of 99417825 in words is "ninety-nine million, four hundred seventeen thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 41 45 65 75 117 123 195 205 225 325 369 533 585 615 829 975 1025 1599 1845 2487 2665 2925 3075 4145 4797 7461 7995 9225 10777 12435 13325 20725 23985 32331 33989 37305 39975 53885 62175 96993 101967 119925 161655 169945 186525 269425 305901 441857 484965 509835 808275 849725 1325571 1529505 2209285 2424825 2549175 3976713 6627855 7647525 11046425 19883565 33139275 99417825