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114694848 = 26321731151
BaseRepresentation
bin1101101011000…
…01101011000000
321222211002202100
412311201223000
5213330213343
615214150400
72561614212
oct665415300
9258732670
10114694848
1159818a34
12324b2400
131a9ba298
14113385b2
15a1089d3
hex6d61ac0

114694848 has 84 divisors (see below), whose sum is σ = 330939648. Its totient is φ = 37977600.

The previous prime is 114694847. The next prime is 114694861. The reversal of 114694848 is 848496411.

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 (114694841) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99073 + ... + 100223.

Almost surely, 2114694848 is an apocalyptic number.

114694848 is a gapful number since it is divisible by the number (18) 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 114694848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165469824).

114694848 is an abundant number, since it is smaller than the sum of its proper divisors (216244800).

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

114694848 is a wasteful number, since it uses less digits than its factorization.

114694848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1329 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 114694848 is about 10709.5680585166. The cubic root of 114694848 is about 485.8639053975.

The spelling of 114694848 in words is "one hundred fourteen million, six hundred ninety-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 173 192 288 346 519 576 692 1038 1151 1384 1557 2076 2302 2768 3114 3453 4152 4604 5536 6228 6906 8304 9208 10359 11072 12456 13812 16608 18416 20718 24912 27624 33216 36832 41436 49824 55248 73664 82872 99648 110496 165744 199123 220992 331488 398246 597369 662976 796492 1194738 1592984 1792107 2389476 3185968 3584214 4778952 6371936 7168428 9557904 12743872 14336856 19115808 28673712 38231616 57347424 114694848