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248947740 = 223251383043
BaseRepresentation
bin11101101011010…
…10010000011100
3122100102212002200
432311222100130
51002212311430
640411451500
76112010106
oct1665522034
9570385080
10248947740
11118585138
126b456b90
133c764772
14250c4576
1516cc7460
hexed6a41c

248947740 has 36 divisors (see below), whose sum is σ = 755142024. Its totient is φ = 66386016.

The previous prime is 248947733. The next prime is 248947753. The reversal of 248947740 is 47749842.

248947740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2489477402 = 123949954502215200, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 691342 + ... + 691701.

Almost surely, 2248947740 is an apocalyptic number.

248947740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248947740 is an abundant number, since it is smaller than the sum of its proper divisors (506194284).

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

248947740 is a wasteful number, since it uses less digits than its factorization.

248947740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1383058 (or 1383053 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 248947740 is about 15778.0778296978. The cubic root of 248947740 is about 629.0754389801.

The spelling of 248947740 in words is "two hundred forty-eight million, nine hundred forty-seven thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1383043 2766086 4149129 5532172 6915215 8298258 12447387 13830430 16596516 20745645 24894774 27660860 41491290 49789548 62236935 82982580 124473870 248947740