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94278240 = 25325747199
BaseRepresentation
bin1011001111010…
…01001001100000
320120101211102200
411213221021200
5143113400430
613204413200
72223231450
oct547511140
9216354380
1094278240
1149243701
12276a7200
13166bc354
14c741d60
158424460
hex59e9260

94278240 has 288 divisors, whose sum is σ = 377395200. Its totient is φ = 20984832.

The previous prime is 94278227. The next prime is 94278251. The reversal of 94278240 is 4287249.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 94278195 and 94278204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 473661 + ... + 473859.

It is an arithmetic number, because the mean of its divisors is an integer number (1310400).

Almost surely, 294278240 is an apocalyptic number.

94278240 is a gapful number since it is divisible by the number (90) 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 94278240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188697600).

94278240 is an abundant number, since it is smaller than the sum of its proper divisors (283116960).

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

94278240 is a wasteful number, since it uses less digits than its factorization.

94278240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 94278240 is about 9709.6982445388. The cubic root of 94278240 is about 455.1317736110.

The spelling of 94278240 in words is "ninety-four million, two hundred seventy-eight thousand, two hundred forty".