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38833740 = 223251121783
BaseRepresentation
bin1001010000100…
…0111001001100
32201001221212200
42110020321030
534420134430
63504201500
7651036621
oct224107114
981057780
1038833740
111aa14400
1211009290
138078a5a
14522c348
153621460
hex2508e4c

38833740 has 108 divisors (see below), whose sum is σ = 129550512. Its totient is φ = 9408960.

The previous prime is 38833709. The next prime is 38833783. The reversal of 38833740 is 4733883.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 38833695 and 38833704.

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, 20889 + ... + 22671.

Almost surely, 238833740 is an apocalyptic number.

38833740 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 38833740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64775256).

38833740 is an abundant number, since it is smaller than the sum of its proper divisors (90716772).

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

38833740 is a wasteful number, since it uses less digits than its factorization.

38833740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 38833740 is about 6231.6723277143. The cubic root of 38833740 is about 338.6385580415.

The spelling of 38833740 in words is "thirty-eight million, eight hundred thirty-three thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 121 132 165 180 198 220 242 330 363 396 484 495 605 660 726 990 1089 1210 1452 1783 1815 1980 2178 2420 3566 3630 4356 5349 5445 7132 7260 8915 10698 10890 16047 17830 19613 21396 21780 26745 32094 35660 39226 53490 58839 64188 78452 80235 98065 106980 117678 160470 176517 196130 215743 235356 294195 320940 353034 392260 431486 588390 647229 706068 862972 882585 1078715 1176780 1294458 1765170 1941687 2157430 2588916 3236145 3530340 3883374 4314860 6472290 7766748 9708435 12944580 19416870 38833740