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38312118 = 23213179631
BaseRepresentation
bin1001001000100…
…1100010110110
32200002110100100
42102021202312
534301441433
63445054530
7643435065
oct222114266
980073310
1038312118
111a698509
12109b7446
137c254c0
1451341dc
15356bb13
hex24898b6

38312118 has 48 divisors (see below), whose sum is σ = 94663296. Its totient is φ = 11093760.

The previous prime is 38312093. The next prime is 38312123. The reversal of 38312118 is 81121383.

It is a junction number, because it is equal to n+sod(n) for n = 38312091 and 38312100.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 838 + ... + 8793.

It is an arithmetic number, because the mean of its divisors is an integer number (1972152).

Almost surely, 238312118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38312118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47331648).

38312118 is an abundant number, since it is smaller than the sum of its proper divisors (56351178).

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

38312118 is a wasteful number, since it uses less digits than its factorization.

38312118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9669 (or 9666 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 38312118 is about 6189.6783438237. The cubic root of 38312118 is about 337.1154995687.

The spelling of 38312118 in words is "thirty-eight million, three hundred twelve thousand, one hundred eighteen".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 221 234 306 442 663 1326 1989 3978 9631 19262 28893 57786 86679 125203 163727 173358 250406 327454 375609 491181 751218 982362 1126827 1473543 2128451 2253654 2947086 4256902 6385353 12770706 19156059 38312118