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442700424 = 23336133599
BaseRepresentation
bin11010011000110…
…001001010001000
31010212000111211000
4122120301022020
51401312403144
6111532335000
713653614535
oct3230611210
91125014730
10442700424
11207990421
12104314460
137094231a
1442b1bd8c
1528cea769
hex1a631288

442700424 has 64 divisors (see below), whose sum is σ = 1249920000. Its totient is φ = 145143360.

The previous prime is 442700393. The next prime is 442700431. The reversal of 442700424 is 424007244.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 3624 + ... + 29975.

It is an arithmetic number, because the mean of its divisors is an integer number (19530000).

Almost surely, 2442700424 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 442700424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624960000).

442700424 is an abundant number, since it is smaller than the sum of its proper divisors (807219576).

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

442700424 is a wasteful number, since it uses less digits than its factorization.

442700424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33675 (or 33665 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The square root of 442700424 is about 21040.4473336476. The cubic root of 442700424 is about 762.1433173298.

Adding to 442700424 its reverse (424007244), we get a palindrome (866707668).

The spelling of 442700424 in words is "four hundred forty-two million, seven hundred thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 108 122 183 216 244 366 488 549 732 1098 1464 1647 2196 3294 4392 6588 13176 33599 67198 100797 134396 201594 268792 302391 403188 604782 806376 907173 1209564 1814346 2049539 2419128 3628692 4099078 6148617 7257384 8198156 12297234 16396312 18445851 24594468 36891702 49188936 55337553 73783404 110675106 147566808 221350212 442700424