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38027430 = 2325728623
BaseRepresentation
bin1001000100010…
…0000010100110
32122112222211100
42101010002212
534213334210
63435020530
7641141100
oct221040246
978488740
1038027430
111a513631
121089a746
137b55a4c
14509c570
1535125c0
hex24440a6

38027430 has 72 divisors (see below), whose sum is σ = 115026912. Its totient is φ = 8690976.

The previous prime is 38027413. The next prime is 38027443. The reversal of 38027430 is 3472083.

It is a junction number, because it is equal to n+sod(n) for n = 38027394 and 38027403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 99 + ... + 8721.

It is an arithmetic number, because the mean of its divisors is an integer number (1597596).

Almost surely, 238027430 is an apocalyptic number.

38027430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38027430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57513456).

38027430 is an abundant number, since it is smaller than the sum of its proper divisors (76999482).

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

38027430 is a wasteful number, since it uses less digits than its factorization.

38027430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8650 (or 8640 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 38027430 is about 6166.6384684040. The cubic root of 38027430 is about 336.2784150704.

The spelling of 38027430 in words is "thirty-eight million, twenty-seven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 4410 8623 17246 25869 43115 51738 60361 77607 86230 120722 129345 155214 181083 258690 301805 362166 388035 422527 543249 603610 776070 845054 905415 1086498 1267581 1810830 2112635 2535162 2716245 3802743 4225270 5432490 6337905 7605486 12675810 19013715 38027430