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100000044 = 22322325989
BaseRepresentation
bin1011111010111…
…10000100101100
320222011112021100
411331132010230
5201100000134
613531203100
72322662214
oct575360454
9228145240
10100000044
11514a1571
12295a6490
1317943831
14d3d1244
158ba4999
hex5f5e12c

100000044 has 108 divisors (see below), whose sum is σ = 271744200. Its totient is φ = 30991488.

The previous prime is 100000039. The next prime is 100000049. The reversal of 100000044 is 440000001.

It is an interprime number because it is at equal distance from previous prime (100000039) and next prime (100000049).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 99999981 and 100000035.

It is not an unprimeable number, because it can be changed into a prime (100000049) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1123552 + ... + 1123640.

It is an arithmetic number, because the mean of its divisors is an integer number (2516150).

Almost surely, 2100000044 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 100000044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135872100).

100000044 is an abundant number, since it is smaller than the sum of its proper divisors (171744156).

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

100000044 is a wasteful number, since it uses less digits than its factorization.

100000044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 100000044 is about 10000.0021999998. The cubic root of 100000044 is about 464.1589514379.

Adding to 100000044 its reverse (440000001), we get a palindrome (540000045).

The spelling of 100000044 in words is "one hundred million, forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 23 36 46 59 69 89 92 118 138 177 178 207 236 267 276 354 356 414 529 531 534 708 801 828 1058 1062 1068 1357 1587 1602 2047 2116 2124 2714 3174 3204 4071 4094 4761 5251 5428 6141 6348 8142 8188 9522 10502 12213 12282 15753 16284 18423 19044 21004 24426 24564 31211 31506 36846 47081 47259 48852 62422 63012 73692 93633 94162 94518 120773 124844 141243 187266 188324 189036 241546 280899 282486 362319 374532 423729 483092 561798 564972 724638 847458 1086957 1123596 1449276 1694916 2173914 2777779 4347828 5555558 8333337 11111116 16666674 25000011 33333348 50000022 100000044