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4735068 = 22313127239
BaseRepresentation
bin10010000100000001011100
322220120021220
4102010001130
52203010233
6245253340
755150602
oct22040134
98816256
104735068
112744588
121704250
13c9a320
148b3872
15637eb3
hex48405c

4735068 has 48 divisors (see below), whose sum is σ = 12042240. Its totient is φ = 1439424.

The previous prime is 4735063. The next prime is 4735103. The reversal of 4735068 is 8605374.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4735063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19693 + ... + 19931.

It is an arithmetic number, because the mean of its divisors is an integer number (250880).

Almost surely, 24735068 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 4735068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6021120).

4735068 is an abundant number, since it is smaller than the sum of its proper divisors (7307172).

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

4735068 is a wasteful number, since it uses less digits than its factorization.

4735068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 4735068 is about 2176.0211396032. The cubic root of 4735068 is about 167.9224415243.

The spelling of 4735068 in words is "four million, seven hundred thirty-five thousand, sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 127 156 239 254 381 478 508 717 762 956 1434 1524 1651 2868 3107 3302 4953 6214 6604 9321 9906 12428 18642 19812 30353 37284 60706 91059 121412 182118 364236 394589 789178 1183767 1578356 2367534 4735068