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248775032 = 231122331103
BaseRepresentation
bin11101101010000…
…00000101111000
3122100010002012002
432311000011320
51002141300112
640404040132
76110360432
oct1665000570
9570102162
10248775032
11118477400
126b393048
133c703c7c
142507b652
1516c911c2
hexed40178

248775032 has 48 divisors (see below), whose sum is σ = 515380320. Its totient is φ = 112492160.

The previous prime is 248775011. The next prime is 248775041. The reversal of 248775032 is 230577842.

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, 224993 + ... + 226095.

It is an arithmetic number, because the mean of its divisors is an integer number (10737090).

Almost surely, 2248775032 is an apocalyptic number.

248775032 is a gapful number since it is divisible by the number (22) 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 248775032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257690160).

248775032 is an abundant number, since it is smaller than the sum of its proper divisors (266605288).

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

248775032 is a wasteful number, since it uses less digits than its factorization.

248775032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 38.

The square root of 248775032 is about 15772.6038433735. The cubic root of 248775032 is about 628.9299312052.

The spelling of 248775032 in words is "two hundred forty-eight million, seven hundred seventy-five thousand, thirty-two".

Divisors: 1 2 4 8 11 22 44 88 121 233 242 466 484 932 968 1103 1864 2206 2563 4412 5126 8824 10252 12133 20504 24266 28193 48532 56386 97064 112772 133463 225544 256999 266926 513998 533852 1027996 1067704 2055992 2826989 5653978 11307956 22615912 31096879 62193758 124387516 248775032