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38379900 = 22352132757
BaseRepresentation
bin1001001001101…
…0000101111100
32200012220022210
42102122011330
534311124100
63450340420
7644136516
oct222320574
980186283
1038379900
111a734429
1210a2a710
137c4a300
145150bb6
153581c50
hex249a17c

38379900 has 108 divisors (see below), whose sum is σ = 120403752. Its totient is φ = 9434880.

The previous prime is 38379889. The next prime is 38379917. The reversal of 38379900 is 997383.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 50322 + ... + 51078.

Almost surely, 238379900 is an apocalyptic number.

38379900 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 38379900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60201876).

38379900 is an abundant number, since it is smaller than the sum of its proper divisors (82023852).

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

38379900 is a wasteful number, since it uses less digits than its factorization.

38379900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 38379900 is about 6195.1513298708. The cubic root of 38379900 is about 337.3141912756.

The spelling of 38379900 in words is "thirty-eight million, three hundred seventy-nine thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 169 195 260 300 325 338 390 507 650 676 757 780 845 975 1014 1300 1514 1690 1950 2028 2271 2535 3028 3380 3785 3900 4225 4542 5070 7570 8450 9084 9841 10140 11355 12675 15140 16900 18925 19682 22710 25350 29523 37850 39364 45420 49205 50700 56775 59046 75700 98410 113550 118092 127933 147615 196820 227100 246025 255866 295230 383799 492050 511732 590460 639665 738075 767598 984100 1279330 1476150 1535196 1918995 2558660 2952300 3198325 3837990 6396650 7675980 9594975 12793300 19189950 38379900