Search a number
-
+
258302416 = 24193127409
BaseRepresentation
bin11110110010101…
…10000111010000
3200000001010022011
433121112013100
51012111134131
641344152304
76254351161
oct1731260720
9600033264
10258302416
11122894479
1272608694
134168b688
142643b768
1517a240b1
hexf6561d0

258302416 has 40 divisors (see below), whose sum is σ = 543814400. Its totient is φ = 118402560.

The previous prime is 258302399. The next prime is 258302417. The reversal of 258302416 is 614203852.

258302416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2583024162 = 133440276222874112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258302417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4281 + ... + 23128.

It is an arithmetic number, because the mean of its divisors is an integer number (13595360).

Almost surely, 2258302416 is an apocalyptic number.

It is an amenable number.

258302416 is an abundant number, since it is smaller than the sum of its proper divisors (285511984).

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

258302416 is a wasteful number, since it uses less digits than its factorization.

258302416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27467 (or 27461 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 258302416 is about 16071.7894461071. The cubic root of 258302416 is about 636.8583139994.

The spelling of 258302416 in words is "two hundred fifty-eight million, three hundred two thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 19 31 38 62 76 124 152 248 304 496 589 1178 2356 4712 9424 27409 54818 109636 219272 438544 520771 849679 1041542 1699358 2083084 3398716 4166168 6797432 8332336 13594864 16143901 32287802 64575604 129151208 258302416