Search a number
-
+
99674944 = 26173317
BaseRepresentation
bin1011111000011…
…10101101000000
320221120000022121
411330032231000
5201004044234
613520214024
72320136335
oct574165500
9227500277
1099674944
115129a296
122946a314
131785b875
14d34898c
158b3d4b4
hex5f0eb40

99674944 has 56 divisors (see below), whose sum is σ = 210814920. Its totient is φ = 46757888.

The previous prime is 99674933. The next prime is 99674957. The reversal of 99674944 is 44947699.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2849344 + 96825600 = 1688^2 + 9840^2 .

It is a super-2 number, since 2×996749442 = 19870188922806272, which contains 22 as substring.

Its product of digits (1959552) is a multiple of the sum of its prime divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 99674891 and 99674900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 314274 + ... + 314590.

Almost surely, 299674944 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 99674944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105407460).

99674944 is an abundant number, since it is smaller than the sum of its proper divisors (111139976).

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

99674944 is an equidigital number, since it uses as much as digits as its factorization.

99674944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 336 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 52.

The square root of 99674944 is about 9983.7339708147. The cubic root of 99674944 is about 463.6554120120.

The spelling of 99674944 in words is "ninety-nine million, six hundred seventy-four thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 289 317 544 578 634 1088 1156 1268 2312 2536 4624 4913 5072 5389 9248 9826 10144 10778 18496 19652 20288 21556 39304 43112 78608 86224 91613 157216 172448 183226 314432 344896 366452 732904 1465808 1557421 2931616 3114842 5863232 6229684 12459368 24918736 49837472 99674944