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42900032 = 267313089
BaseRepresentation
bin1010001110100…
…1101001000000
32222201112210002
42203221221000
541440300112
64131255132
71030433660
oct243515100
988645702
1042900032
112224147a
121244a4a8
138b70846
1459aa1a0
153b761c2
hex28e9a40

42900032 has 56 divisors (see below), whose sum is σ = 100462080. Its totient is φ = 17786880.

The previous prime is 42900031. The next prime is 42900041. The reversal of 42900032 is 23000924.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 42899977 and 42900013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42900031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12344 + ... + 15432.

Almost surely, 242900032 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 42900032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50231040).

42900032 is an abundant number, since it is smaller than the sum of its proper divisors (57562048).

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

42900032 is a wasteful number, since it uses less digits than its factorization.

42900032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3139 (or 3129 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 42900032 is about 6549.8116003439. The cubic root of 42900032 is about 350.0681010341.

Adding to 42900032 its reverse (23000924), we get a palindrome (65900956).

The spelling of 42900032 in words is "forty-two million, nine hundred thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 217 224 248 434 448 496 868 992 1736 1984 3089 3472 6178 6944 12356 13888 21623 24712 43246 49424 86492 95759 98848 172984 191518 197696 345968 383036 670313 691936 766072 1340626 1383872 1532144 2681252 3064288 5362504 6128576 10725008 21450016 42900032