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100048690 = 2572732797
BaseRepresentation
bin1011111011010…
…01111100110010
320222021000000001
411331221330302
5201103024230
613532220214
72323254100
oct575517462
9228230001
10100048690
1151525075
122960a66a
131795ca11
14d404c70
158bb40ca
hex5f69f32

100048690 has 48 divisors (see below), whose sum is σ = 212435352. Its totient is φ = 33820416.

The previous prime is 100048673. The next prime is 100048709. The reversal of 100048690 is 96840001.

It can be written as a sum of positive squares in 4 ways, for example, as 91030681 + 9018009 = 9541^2 + 3003^2 .

It is a super-2 number, since 2×1000486902 = 20019480741432200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34372 + ... + 37168.

Almost surely, 2100048690 is an apocalyptic number.

100048690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100048690 is an abundant number, since it is smaller than the sum of its proper divisors (112386662).

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

100048690 is a wasteful number, since it uses less digits than its factorization.

100048690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2891 (or 2884 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 100048690 is about 10002.4342037326. The cubic root of 100048690 is about 464.2342041248.

Adding to 100048690 its reverse (96840001), we get a palindrome (196888691).

The spelling of 100048690 in words is "one hundred million, forty-eight thousand, six hundred ninety".

Divisors: 1 2 5 7 10 14 35 49 70 73 98 146 245 365 490 511 730 1022 2555 2797 3577 5110 5594 7154 13985 17885 19579 27970 35770 39158 97895 137053 195790 204181 274106 408362 685265 1020905 1370530 1429267 2041810 2858534 7146335 10004869 14292670 20009738 50024345 100048690