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248746164 = 22320728847
BaseRepresentation
bin11101101001110…
…01000010110100
3122100001121120220
432310321002310
51002134334124
640403254340
76110210322
oct1664710264
9570047526
10248746164
11118457747
126b37a3b0
133c6c3aa4
1425070d12
1516c87879
hexed390b4

248746164 has 12 divisors (see below), whose sum is σ = 580407744. Its totient is φ = 82915384.

The previous prime is 248746151. The next prime is 248746177. The reversal of 248746164 is 461647842.

248746164 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (248746151) and next prime (248746177).

It is a tau number, because it is divible by the number of its divisors (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10364412 + ... + 10364435.

It is an arithmetic number, because the mean of its divisors is an integer number (48367312).

Almost surely, 2248746164 is an apocalyptic number.

It is an amenable number.

248746164 is an abundant number, since it is smaller than the sum of its proper divisors (331661580).

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

248746164 is a wasteful number, since it uses less digits than its factorization.

248746164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20728854 (or 20728852 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 248746164 is about 15771.6886857432. The cubic root of 248746164 is about 628.9056031320.

The spelling of 248746164 in words is "two hundred forty-eight million, seven hundred forty-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 20728847 41457694 62186541 82915388 124373082 248746164