Search a number
-
+
23478272 = 2141433
BaseRepresentation
bin101100110010…
…0000000000000
31122011211010122
41121210000000
522002301042
62155115412
7403363526
oct131440000
948154118
1023478272
1112286634
127a42b68
134b3068c
143192316
1520db7d2
hex1664000

23478272 has 30 divisors (see below), whose sum is σ = 46987878. Its totient is φ = 11730944.

The previous prime is 23478233. The next prime is 23478307. The reversal of 23478272 is 27287432.

It can be written as a sum of positive squares in only one way, i.e., 22429696 + 1048576 = 4736^2 + 1024^2 .

It is a super-2 number, since 2×234782722 = 1102458512211968, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15668 + ... + 17100.

Almost surely, 223478272 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 23478272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23493939).

23478272 is an abundant number, since it is smaller than the sum of its proper divisors (23509606).

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

23478272 is an frugal number, since it uses more digits than its factorization.

23478272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461 (or 1435 counting only the distinct ones).

The product of its digits is 37632, while the sum is 35.

The square root of 23478272 is about 4845.4382670714. The cubic root of 23478272 is about 286.3444104212.

The spelling of 23478272 in words is "twenty-three million, four hundred seventy-eight thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1433 2048 2866 4096 5732 8192 11464 16384 22928 45856 91712 183424 366848 733696 1467392 2934784 5869568 11739136 23478272