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38488590 = 23257199307
BaseRepresentation
bin1001001011010…
…0101000001110
32200102102102100
42102310220032
534323113330
63452535530
7645101430
oct222645016
980372370
1038488590
111a7a9058
1210a815a6
137c8791a
14517c650
1535a4060
hex24b4a0e

38488590 has 96 divisors (see below), whose sum is σ = 115315200. Its totient is φ = 8724672.

The previous prime is 38488573. The next prime is 38488607. The reversal of 38488590 is 9588483.

It is an interprime number because it is at equal distance from previous prime (38488573) and next prime (38488607).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125217 + ... + 125523.

It is an arithmetic number, because the mean of its divisors is an integer number (1201200).

Almost surely, 238488590 is an apocalyptic number.

38488590 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38488590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57657600).

38488590 is an abundant number, since it is smaller than the sum of its proper divisors (76826610).

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

38488590 is a wasteful number, since it uses less digits than its factorization.

38488590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 38488590 is about 6203.9173108609. The cubic root of 38488590 is about 337.6323102635.

The spelling of 38488590 in words is "thirty-eight million, four hundred eighty-eight thousand, five hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 199 210 307 315 398 597 614 630 921 995 1194 1393 1535 1791 1842 1990 2149 2763 2786 2985 3070 3582 4179 4298 4605 5526 5970 6447 6965 8358 8955 9210 10745 12537 12894 13815 13930 17910 19341 20895 21490 25074 27630 32235 38682 41790 61093 62685 64470 96705 122186 125370 183279 193410 305465 366558 427651 549837 610930 855302 916395 1099674 1282953 1832790 2138255 2565906 2749185 3848859 4276510 5498370 6414765 7697718 12829530 19244295 38488590