Search a number
-
+
252046098 = 232234191453
BaseRepresentation
bin11110000010111…
…10101100010010
3122120021021020200
433001132230102
51004010433343
641002120030
76150233163
oct1701365422
9576237220
10252046098
1111a300a67
12704b0016
13402aab05
142568d76a
15171da4d3
hexf05eb12

252046098 has 48 divisors (see below), whose sum is σ = 571596480. Its totient is φ = 80115552.

The previous prime is 252046087. The next prime is 252046099. The reversal of 252046098 is 890640252.

It is a happy number.

252046098 is a `hidden beast` number, since 2 + 520 + 46 + 0 + 98 = 666.

252046098 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (252046099) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172740 + ... + 174192.

It is an arithmetic number, because the mean of its divisors is an integer number (11908260).

Almost surely, 2252046098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252046098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285798240).

252046098 is an abundant number, since it is smaller than the sum of its proper divisors (319550382).

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

252046098 is a wasteful number, since it uses less digits than its factorization.

252046098 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1903 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 252046098 is about 15875.9597505159. The cubic root of 252046098 is about 631.6744721720.

The spelling of 252046098 in words is "two hundred fifty-two million, forty-six thousand, ninety-eight".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 419 838 1257 1453 2514 2906 3771 4359 7542 8718 9637 13077 19274 26154 28911 33419 57822 66838 86733 100257 173466 200514 300771 601542 608807 1217614 1826421 3652842 5479263 10958526 14002561 28005122 42007683 84015366 126023049 252046098