Search a number
-
+
42990432 = 253447817
BaseRepresentation
bin1010001111111…
…1101101100000
32222220010210020
42203333231200
542001143212
64133233440
71031261352
oct243775540
988803706
1042990432
11222a3391
1212492880
138ba2a34
1459d10d2
153b92d8c
hex28ffb60

42990432 has 24 divisors (see below), whose sum is σ = 112850136. Its totient is φ = 14330112.

The previous prime is 42990419. The next prime is 42990439. The reversal of 42990432 is 23409924.

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 42990393 and 42990402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42990439) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 223813 + ... + 224004.

It is an arithmetic number, because the mean of its divisors is an integer number (4702089).

Almost surely, 242990432 is an apocalyptic number.

It is an amenable number.

42990432 is an abundant number, since it is smaller than the sum of its proper divisors (69859704).

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

42990432 is a wasteful number, since it uses less digits than its factorization.

42990432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447830 (or 447822 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 42990432 is about 6556.7089305535. The cubic root of 42990432 is about 350.3138192176.

The spelling of 42990432 in words is "forty-two million, nine hundred ninety thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 447817 895634 1343451 1791268 2686902 3582536 5373804 7165072 10747608 14330144 21495216 42990432