Search a number
-
+
395825670 = 233519231131
BaseRepresentation
bin10111100101111…
…101001000000110
31000120211000202000
4113211331020012
51302312410140
6103135530130
712544314462
oct2745751006
91016730660
10395825670
11193484759
12b0689946
136400c596
143a7d94a2
1524b3ba30
hex1797d206

395825670 has 192 divisors, whose sum is σ = 1158727680. Its totient is φ = 96033600.

The previous prime is 395825641. The next prime is 395825687. The reversal of 395825670 is 76528593.

It is a happy number.

395825670 is a `hidden beast` number, since 3 + 9 + 5 + 82 + 567 + 0 = 666.

It is a super-2 number, since 2×3958256702 = 313355922061897800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3021505 + ... + 3021635.

It is an arithmetic number, because the mean of its divisors is an integer number (6035040).

Almost surely, 2395825670 is an apocalyptic number.

395825670 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 395825670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579363840).

395825670 is an abundant number, since it is smaller than the sum of its proper divisors (762902010).

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

395825670 is a wasteful number, since it uses less digits than its factorization.

395825670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 395825670 is about 19895.3680538964. The cubic root of 395825670 is about 734.2342712562.

It can be divided in two parts, 395825 and 670, that added together give a triangular number (396495 = T890).

The spelling of 395825670 in words is "three hundred ninety-five million, eight hundred twenty-five thousand, six hundred seventy".