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42290388 = 22327283593
BaseRepresentation
bin1010000101010…
…0110011010100
32221120120111200
42201110303110
541311243023
64110232500
71022314410
oct241246324
987516450
1042290388
1121965438
12121b5730
1389b91ca
14588bd40
153aa5743
hex2854cd4

42290388 has 72 divisors (see below), whose sum is σ = 122810688. Its totient is φ = 12019968.

The previous prime is 42290387. The next prime is 42290401. The reversal of 42290388 is 88309224.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42290387) by changing a digit.

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, 71020 + ... + 71612.

It is an arithmetic number, because the mean of its divisors is an integer number (1705704).

Almost surely, 242290388 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 42290388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61405344).

42290388 is an abundant number, since it is smaller than the sum of its proper divisors (80520300).

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

42290388 is a wasteful number, since it uses less digits than its factorization.

42290388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 42290388 is about 6503.1060271227. The cubic root of 42290388 is about 348.4019335345.

The spelling of 42290388 in words is "forty-two million, two hundred ninety thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 283 566 593 849 1132 1186 1698 1779 1981 2372 2547 3396 3558 3962 4151 5094 5337 5943 7116 7924 8302 10188 10674 11886 12453 16604 17829 21348 23772 24906 35658 37359 49812 71316 74718 149436 167819 335638 503457 671276 1006914 1174733 1510371 2013828 2349466 3020742 3524199 4698932 6041484 7048398 10572597 14096796 21145194 42290388