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248693440 = 265777167
BaseRepresentation
bin11101101001011…
…00001011000000
3122022221221021011
432310230023000
51002131142230
640402210304
76106600522
oct1664541300
9568857234
10248693440
11118421076
126b353994
133c6a5aa8
1425059a12
1516c76e2a
hexed2c2c0

248693440 has 28 divisors (see below), whose sum is σ = 592202016. Its totient is φ = 99477248.

The previous prime is 248693429. The next prime is 248693449. The reversal of 248693440 is 44396842.

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 = 248693393 and 248693402.

It is not an unprimeable number, because it can be changed into a prime (248693449) 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, 388264 + ... + 388903.

It is an arithmetic number, because the mean of its divisors is an integer number (21150072).

Almost surely, 2248693440 is an apocalyptic number.

248693440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248693440 is an abundant number, since it is smaller than the sum of its proper divisors (343508576).

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

248693440 is an equidigital number, since it uses as much as digits as its factorization.

248693440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777184 (or 777174 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The square root of 248693440 is about 15770.0171211067. The cubic root of 248693440 is about 628.8611659147.

The spelling of 248693440 in words is "two hundred forty-eight million, six hundred ninety-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 777167 1554334 3108668 3885835 6217336 7771670 12434672 15543340 24869344 31086680 49738688 62173360 124346720 248693440