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248469912 = 233229127937
BaseRepresentation
bin11101100111101…
…01100110011000
3122022112120122100
432303311212120
51002102014122
640353323400
76104650035
oct1663654630
9568476570
10248469912
11118289139
126b266560
133c628122
1424ddc38c
1516c30aac
hexecf5998

248469912 has 96 divisors (see below), whose sum is σ = 702374400. Its totient is φ = 79252992.

The previous prime is 248469901. The next prime is 248469917. The reversal of 248469912 is 219964842.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248469917) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264708 + ... + 265644.

It is an arithmetic number, because the mean of its divisors is an integer number (7316400).

Almost surely, 2248469912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248469912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351187200).

248469912 is an abundant number, since it is smaller than the sum of its proper divisors (453904488).

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

248469912 is a wasteful number, since it uses less digits than its factorization.

248469912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1098 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 248469912 is about 15762.9284081353. The cubic root of 248469912 is about 628.6727006642.

The spelling of 248469912 in words is "two hundred forty-eight million, four hundred sixty-nine thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 127 174 232 254 261 348 381 508 522 696 762 937 1016 1044 1143 1524 1874 2088 2286 2811 3048 3683 3748 4572 5622 7366 7496 8433 9144 11049 11244 14732 16866 22098 22488 27173 29464 33147 33732 44196 54346 66294 67464 81519 88392 108692 118999 132588 163038 217384 237998 244557 265176 326076 356997 475996 489114 652152 713994 951992 978228 1070991 1427988 1956456 2141982 2855976 3450971 4283964 6901942 8567928 10352913 13803884 20705826 27607768 31058739 41411652 62117478 82823304 124234956 248469912