Search a number
-
+
838258240 = 2652619557
BaseRepresentation
bin110001111101101…
…100111001000000
32011102022221010111
4301331230321000
53204043230430
6215102441104
726526035401
oct6175547100
92142287114
10838258240
113a01a1906
121b4893194
131048899c1
147d4879a8
154d8d2c2a
hex31f6ce40

838258240 has 28 divisors (see below), whose sum is σ = 1996103196. Its totient is φ = 335303168.

The previous prime is 838258171. The next prime is 838258249. The reversal of 838258240 is 42852838.

838258240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 436977216 + 401281024 = 20904^2 + 20032^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 838258193 and 838258202.

It is not an unprimeable number, because it can be changed into a prime (838258249) 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, 1309459 + ... + 1310098.

Almost surely, 2838258240 is an apocalyptic number.

838258240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

838258240 is an abundant number, since it is smaller than the sum of its proper divisors (1157844956).

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

838258240 is a wasteful number, since it uses less digits than its factorization.

838258240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2619574 (or 2619564 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 40.

The square root of 838258240 is about 28952.6896850707. The cubic root of 838258240 is about 942.8861947408.

The spelling of 838258240 in words is "eight hundred thirty-eight million, two hundred fifty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 2619557 5239114 10478228 13097785 20956456 26195570 41912912 52391140 83825824 104782280 167651648 209564560 419129120 838258240