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38882634 = 23737131191
BaseRepresentation
bin1001010001010…
…0110101001010
32201011102221120
42110110311022
534423221014
63505220110
7651332310
oct224246512
981142846
1038882634
111aa4810a
1211031636
13809509b
1452420b0
153630ba9
hex2514d4a

38882634 has 64 divisors (see below), whose sum is σ = 92454912. Its totient is φ = 10670400.

The previous prime is 38882629. The next prime is 38882659. The reversal of 38882634 is 43628883.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 203479 + ... + 203669.

It is an arithmetic number, because the mean of its divisors is an integer number (1444608).

Almost surely, 238882634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38882634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46227456).

38882634 is an abundant number, since it is smaller than the sum of its proper divisors (53572278).

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

38882634 is a wasteful number, since it uses less digits than its factorization.

38882634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371.

The product of its digits is 221184, while the sum is 42.

The square root of 38882634 is about 6235.5941176443. The cubic root of 38882634 is about 338.7806204988.

The spelling of 38882634 in words is "thirty-eight million, eight hundred eighty-two thousand, six hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 37 42 74 111 131 191 222 259 262 382 393 518 573 777 786 917 1146 1337 1554 1834 2674 2751 4011 4847 5502 7067 8022 9694 14134 14541 21201 25021 29082 33929 42402 49469 50042 67858 75063 98938 101787 148407 150126 175147 203574 296814 350294 525441 925777 1050882 1851554 2777331 5554662 6480439 12960878 19441317 38882634