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38874024 = 23327137563
BaseRepresentation
bin1001010001001…
…0101110101000
32201011000010200
42110102232220
534422432044
63505112200
7651265230
oct224225650
981130120
1038874024
111aa416a2
1211028660
1380911a7
14523ccc0
15362d369
hex2512ba8

38874024 has 96 divisors (see below), whose sum is σ = 121417920. Its totient is φ = 11006208.

The previous prime is 38873999. The next prime is 38874041. The reversal of 38874024 is 42047883.

It is a super-2 number, since 2×388740242 = 3022379483905152, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 38874024.

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 23 ways as a sum of consecutive naturals, for example, 68767 + ... + 69329.

It is an arithmetic number, because the mean of its divisors is an integer number (1264770).

Almost surely, 238874024 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 38874024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60708960).

38874024 is an abundant number, since it is smaller than the sum of its proper divisors (82543896).

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

38874024 is a wasteful number, since it uses less digits than its factorization.

38874024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 38874024 is about 6234.9036881094. The cubic root of 38874024 is about 338.7556126211.

The spelling of 38874024 in words is "thirty-eight million, eight hundred seventy-four thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 137 168 252 274 411 504 548 563 822 959 1096 1126 1233 1644 1689 1918 2252 2466 2877 3288 3378 3836 3941 4504 4932 5067 5754 6756 7672 7882 8631 9864 10134 11508 11823 13512 15764 17262 20268 23016 23646 31528 34524 35469 40536 47292 69048 70938 77131 94584 141876 154262 231393 283752 308524 462786 539917 617048 694179 925572 1079834 1388358 1619751 1851144 2159668 2776716 3239502 4319336 4859253 5553432 6479004 9718506 12958008 19437012 38874024