Search a number
-
+
4742864 = 247174753
BaseRepresentation
bin10010000101111011010000
322220221222122
4102011323100
52203232424
6245353412
755212410
oct22057320
98827878
104742864
11274a425
121708868
13ca0a39
148b6640
1563a45e
hex485ed0

4742864 has 80 divisors (see below), whose sum is σ = 11570688. Its totient is φ = 1837056.

The previous prime is 4742861. The next prime is 4742873. The reversal of 4742864 is 4682474.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4742861) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89462 + ... + 89514.

Almost surely, 24742864 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 4742864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5785344).

4742864 is an abundant number, since it is smaller than the sum of its proper divisors (6827824).

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

4742864 is a wasteful number, since it uses less digits than its factorization.

4742864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 126 counting only the distinct ones).

The product of its digits is 43008, while the sum is 35.

The square root of 4742864 is about 2177.8117457668. The cubic root of 4742864 is about 168.0145490046.

The spelling of 4742864 in words is "four million, seven hundred forty-two thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 17 28 34 47 53 56 68 94 106 112 119 136 188 212 238 272 329 371 376 424 476 658 742 752 799 848 901 952 1316 1484 1598 1802 1904 2491 2632 2968 3196 3604 4982 5264 5593 5936 6307 6392 7208 9964 11186 12614 12784 14416 17437 19928 22372 25228 34874 39856 42347 44744 50456 69748 84694 89488 100912 139496 169388 278992 296429 338776 592858 677552 1185716 2371432 4742864