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38812122 = 234172829
BaseRepresentation
bin1001010000001…
…1100111011010
32201000212020000
42110003213122
534413441442
63503513430
7650616606
oct224034732
981025200
1038812122
111a9aa138
1210bb8876
13806bc6b
145224506
153619d4c
hex25039da

38812122 has 60 divisors (see below), whose sum is σ = 92496030. Its totient is φ = 12161664.

The previous prime is 38812097. The next prime is 38812141. The reversal of 38812122 is 22121883.

It can be written as a sum of positive squares in 3 ways, for example, as 38675961 + 136161 = 6219^2 + 369^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 46404 + ... + 47232.

Almost surely, 238812122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38812122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46248015).

38812122 is an abundant number, since it is smaller than the sum of its proper divisors (53683908).

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

38812122 is a wasteful number, since it uses less digits than its factorization.

38812122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 851 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 38812122 is about 6229.9375598797. The cubic root of 38812122 is about 338.5757085091.

The spelling of 38812122 in words is "thirty-eight million, eight hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 289 306 459 578 829 867 918 1377 1658 1734 2487 2601 2754 4974 5202 7461 7803 14093 14922 15606 22383 23409 28186 42279 44766 46818 67149 84558 126837 134298 239581 253674 380511 479162 718743 761022 1141533 1437486 2156229 2283066 4312458 6468687 12937374 19406061 38812122