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248463900 = 223252359769
BaseRepresentation
bin11101100111101…
…00001000011100
3122022112021101200
432303310020130
51002101321100
640353235500
76104623356
oct1663641034
9568467350
10248463900
11118284673
126b262b90
133c625479
1424dda0d6
1516c2de00
hexecf421c

248463900 has 108 divisors (see below), whose sum is σ = 781981200. Its totient is φ = 65986560.

The previous prime is 248463899. The next prime is 248463923. The reversal of 248463900 is 9364842.

It is a happy number.

248463900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 322716 + ... + 323484.

Almost surely, 2248463900 is an apocalyptic number.

248463900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248463900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390990600).

248463900 is an abundant number, since it is smaller than the sum of its proper divisors (533517300).

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

248463900 is a wasteful number, since it uses less digits than its factorization.

248463900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 248463900 is about 15762.7377063758. The cubic root of 248463900 is about 628.6676301499.

The spelling of 248463900 in words is "two hundred forty-eight million, four hundred sixty-three thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 359 450 718 769 900 1077 1436 1538 1795 2154 2307 3076 3231 3590 3845 4308 4614 5385 6462 6921 7180 7690 8975 9228 10770 11535 12924 13842 15380 16155 17950 19225 21540 23070 26925 27684 32310 34605 35900 38450 46140 53850 57675 64620 69210 76900 80775 107700 115350 138420 161550 173025 230700 276071 323100 346050 552142 692100 828213 1104284 1380355 1656426 2484639 2760710 3312852 4141065 4969278 5521420 6901775 8282130 9938556 12423195 13803550 16564260 20705325 24846390 27607100 41410650 49692780 62115975 82821300 124231950 248463900