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38542920 = 23351331797
BaseRepresentation
bin1001001100000…
…1111001001000
32200112011221120
42103001321020
534331333140
63454035240
7645416013
oct223017110
980464846
1038542920
111a835959
1210aa8b20
137ca6580
14519437a
1535b51d0
hex24c1e48

38542920 has 128 divisors (see below), whose sum is σ = 128701440. Its totient is φ = 9169920.

The previous prime is 38542879. The next prime is 38542939. The reversal of 38542920 is 2924583.

It is a happy 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, 47962 + ... + 48758.

It is an arithmetic number, because the mean of its divisors is an integer number (1005480).

Almost surely, 238542920 is an apocalyptic number.

38542920 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 38542920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64350720).

38542920 is an abundant number, since it is smaller than the sum of its proper divisors (90158520).

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

38542920 is a wasteful number, since it uses less digits than its factorization.

38542920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 38542920 is about 6208.2944517798. The cubic root of 38542920 is about 337.7911013840.

The spelling of 38542920 in words is "thirty-eight million, five hundred forty-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 31 39 40 52 60 62 65 78 93 104 120 124 130 155 156 186 195 248 260 310 312 372 390 403 465 520 620 744 780 797 806 930 1209 1240 1560 1594 1612 1860 2015 2391 2418 3188 3224 3720 3985 4030 4782 4836 6045 6376 7970 8060 9564 9672 10361 11955 12090 15940 16120 19128 20722 23910 24180 24707 31083 31880 41444 47820 48360 49414 51805 62166 74121 82888 95640 98828 103610 123535 124332 148242 155415 197656 207220 247070 248664 296484 310830 321191 370605 414440 494140 592968 621660 642382 741210 963573 988280 1243320 1284764 1482420 1605955 1927146 2569528 2964840 3211910 3854292 4817865 6423820 7708584 9635730 12847640 19271460 38542920