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1099084952 = 237175692029
BaseRepresentation
bin100000110000010…
…1011010010011000
32211121010022010002
41001200223102120
54222331204302
6301021112132
736144032210
oct10140532230
92747108102
101099084952
1151444a879
122680b8648
13146920334
14a5d81240
1566754c02
hex4182b498

1099084952 has 64 divisors (see below), whose sum is σ = 2499336000. Its totient is φ = 442331136.

The previous prime is 1099084939. The next prime is 1099084957. The reversal of 1099084952 is 2594809901.

It is a junction number, because it is equal to n+sod(n) for n = 1099084897 and 1099084906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1099084957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 540674 + ... + 542702.

It is an arithmetic number, because the mean of its divisors is an integer number (39052125).

Almost surely, 21099084952 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 1099084952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249668000).

1099084952 is an abundant number, since it is smaller than the sum of its proper divisors (1400251048).

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

1099084952 is a wasteful number, since it uses less digits than its factorization.

1099084952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2628 (or 2624 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 47.

The square root of 1099084952 is about 33152.4501658626. The cubic root of 1099084952 is about 1031.9937979116.

The spelling of 1099084952 in words is "one billion, ninety-nine million, eighty-four thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 476 569 952 1138 2029 2276 3983 4058 4552 7966 8116 9673 14203 15932 16232 19346 28406 31864 34493 38692 56812 67711 68986 77384 113624 135422 137972 241451 270844 275944 482902 541688 965804 1154501 1931608 2309002 4618004 8081507 9236008 16163014 19626517 32326028 39253034 64652056 78506068 137385619 157012136 274771238 549542476 1099084952