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38426520 = 23351143677
BaseRepresentation
bin1001001010010…
…1011110011000
32200022021021110
42102211132120
534314122040
63451340320
7644422446
oct222453630
980267243
1038426520
111a766460
1210a516a0
137c655b2
145163b96
153590980
hex24a5798

38426520 has 128 divisors (see below), whose sum is σ = 128874240. Its totient is φ = 9085440.

The previous prime is 38426503. The next prime is 38426539. The reversal of 38426520 is 2562483.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56422 + ... + 57098.

It is an arithmetic number, because the mean of its divisors is an integer number (1006830).

Almost surely, 238426520 is an apocalyptic number.

38426520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38426520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64437120).

38426520 is an abundant number, since it is smaller than the sum of its proper divisors (90447720).

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

38426520 is a wasteful number, since it uses less digits than its factorization.

38426520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 38426520 is about 6198.9128079043. The cubic root of 38426520 is about 337.4507143394.

The spelling of 38426520 in words is "thirty-eight million, four hundred twenty-six thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 43 44 55 60 66 86 88 110 120 129 132 165 172 215 220 258 264 330 344 430 440 473 516 645 660 677 860 946 1032 1290 1320 1354 1419 1720 1892 2031 2365 2580 2708 2838 3385 3784 4062 4730 5160 5416 5676 6770 7095 7447 8124 9460 10155 11352 13540 14190 14894 16248 18920 20310 22341 27080 28380 29111 29788 37235 40620 44682 56760 58222 59576 74470 81240 87333 89364 111705 116444 145555 148940 174666 178728 223410 232888 291110 297880 320221 349332 436665 446820 582220 640442 698664 873330 893640 960663 1164440 1280884 1601105 1746660 1921326 2561768 3202210 3493320 3842652 4803315 6404420 7685304 9606630 12808840 19213260 38426520