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38841040 = 2457431613
BaseRepresentation
bin1001010000101…
…0101011010000
32201002022220001
42110022223100
534420403130
63504255344
7651100120
oct224125320
981068801
1038841040
111aa19937
1211011554
13807c184
145230c80
1536236ca
hex250aad0

38841040 has 80 divisors (see below), whose sum is σ = 105671808. Its totient is φ = 12999168.

The previous prime is 38841017. The next prime is 38841053. The reversal of 38841040 is 4014883.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23274 + ... + 24886.

Almost surely, 238841040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38841040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52835904).

38841040 is an abundant number, since it is smaller than the sum of its proper divisors (66830768).

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

38841040 is a wasteful number, since it uses less digits than its factorization.

38841040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1676 (or 1670 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 38841040 is about 6232.2580177653. The cubic root of 38841040 is about 338.6597759016.

The spelling of 38841040 in words is "thirty-eight million, eight hundred forty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 43 56 70 80 86 112 140 172 215 280 301 344 430 560 602 688 860 1204 1505 1613 1720 2408 3010 3226 3440 4816 6020 6452 8065 11291 12040 12904 16130 22582 24080 25808 32260 45164 56455 64520 69359 90328 112910 129040 138718 180656 225820 277436 346795 451640 485513 554872 693590 903280 971026 1109744 1387180 1942052 2427565 2774360 3884104 4855130 5548720 7768208 9710260 19420520 38841040