Search a number
-
+
2452241952 = 2534946081
BaseRepresentation
bin1001001000101010…
…0011111000100000
320022220022210120000
42102022203320200
520010233220302
61043200020000
7114524466306
oct22212437040
96286283500
102452241952
111049254746
12585301600
1330107a654
1419397c276
15e544531c
hex922a3e20

2452241952 has 60 divisors (see below), whose sum is σ = 7211983086. Its totient is φ = 817413120.

The previous prime is 2452241951. The next prime is 2452241999. The reversal of 2452241952 is 2591422542.

2452241952 is a `hidden beast` number, since 2 + 4 + 522 + 41 + 95 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2358462096 + 93779856 = 48564^2 + 9684^2 .

It is a super-2 number, since 2×24522419522 = 12026981182297540608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2452241951) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 470449 + ... + 475632.

Almost surely, 22452241952 is an apocalyptic number.

It is an amenable number.

2452241952 is an abundant number, since it is smaller than the sum of its proper divisors (4759741134).

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

2452241952 is an equidigital number, since it uses as much as digits as its factorization.

2452241952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946103 (or 946086 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 2452241952 is about 49520.1166396042. The cubic root of 2452241952 is about 1348.5108319956.

The spelling of 2452241952 in words is "two billion, four hundred fifty-two million, two hundred forty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 946081 1892162 2838243 3784324 5676486 7568648 8514729 11352972 15137296 17029458 22705944 25544187 30274592 34058916 45411888 51088374 68117832 76632561 90823776 102176748 136235664 153265122 204353496 272471328 306530244 408706992 613060488 817413984 1226120976 2452241952