Search a number
-
+
42621292 = 22747139233
BaseRepresentation
bin1010001010010…
…1100101101100
32222012101102101
42202211211230
541402340132
64121304444
71025163220
oct242454554
988171371
1042621292
112207100a
1212335124
138aa39cc
145936780
153b1d7e7
hex28a596c

42621292 has 48 divisors (see below), whose sum is σ = 88058880. Its totient is φ = 17672832.

The previous prime is 42621287. The next prime is 42621307. The reversal of 42621292 is 29212624.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42621292.

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, 182808 + ... + 183040.

It is an arithmetic number, because the mean of its divisors is an integer number (1834560).

Almost surely, 242621292 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 42621292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44029440).

42621292 is an abundant number, since it is smaller than the sum of its proper divisors (45437588).

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

42621292 is a wasteful number, since it uses less digits than its factorization.

42621292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 428 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

The square root of 42621292 is about 6528.4984491076. The cubic root of 42621292 is about 349.3082718879.

It can be divided in two parts, 4262129 and 2, that multiplied together give a palindrome (8524258).

The spelling of 42621292 in words is "forty-two million, six hundred twenty-one thousand, two hundred ninety-two".

Divisors: 1 2 4 7 14 28 47 94 139 188 233 278 329 466 556 658 932 973 1316 1631 1946 3262 3892 6524 6533 10951 13066 21902 26132 32387 43804 45731 64774 76657 91462 129548 153314 182924 226709 306628 453418 906836 1522189 3044378 6088756 10655323 21310646 42621292