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4742960 = 245101587
BaseRepresentation
bin10010000101111100110000
322220222010012
4102011330300
52203233320
6245354052
755212605
oct22057460
98828105
104742960
11274a502
121708928
13ca0ab1
148b66ac
1563a4c5
hex485f30

4742960 has 40 divisors (see below), whose sum is σ = 11155536. Its totient is φ = 1875200.

The previous prime is 4742957. The next prime is 4742971. The reversal of 4742960 is 692474.

It is a tau number, because it is divible by the number of its divisors (40).

It is a d-powerful number, because it can be written as 49 + 7 + 411 + 23 + 94 + 67 + 0 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7787 + ... + 8373.

Almost surely, 24742960 is an apocalyptic number.

4742960 is a gapful number since it is divisible by the number (40) 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 4742960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5577768).

4742960 is an abundant number, since it is smaller than the sum of its proper divisors (6412576).

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

4742960 is a wasteful number, since it uses less digits than its factorization.

4742960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 4742960 is about 2177.8337861279. The cubic root of 4742960 is about 168.0156825874.

The spelling of 4742960 in words is "four million, seven hundred forty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 587 808 1010 1174 1616 2020 2348 2935 4040 4696 5870 8080 9392 11740 23480 46960 59287 118574 237148 296435 474296 592870 948592 1185740 2371480 4742960