Search a number
-
+
4242303744 = 28372927211
BaseRepresentation
bin1111110011011100…
…0110101100000000
3101221122122100200220
43330313012230000
532142012204434
61540543143040
7210061662330
oct37467065400
911848570626
104242303744
111887740658
129a48a4a80
13527b9b003
142c35c90c0
1519c688d49
hexfcdc6b00

4242303744 has 144 divisors (see below), whose sum is σ = 13349118720. Its totient is φ = 1170247680.

The previous prime is 4242303721. The next prime is 4242303757. The reversal of 4242303744 is 4473032424.

It is a happy number.

4242303744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142299 + ... + 169509.

Almost surely, 24242303744 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 4242303744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6674559360).

4242303744 is an abundant number, since it is smaller than the sum of its proper divisors (9106814976).

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

4242303744 is a wasteful number, since it uses less digits than its factorization.

4242303744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27266 (or 27252 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 33.

The square root of 4242303744 is about 65132.9697158052. The cubic root of 4242303744 is about 1618.8275497718.

The spelling of 4242303744 in words is "four billion, two hundred forty-two million, three hundred three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 112 116 128 168 174 192 203 224 232 256 336 348 384 406 448 464 609 672 696 768 812 896 928 1218 1344 1392 1624 1792 1856 2436 2688 2784 3248 3712 4872 5376 5568 6496 7424 9744 11136 12992 19488 22272 25984 27211 38976 51968 54422 77952 81633 108844 155904 163266 190477 217688 326532 380954 435376 571431 653064 761908 789119 870752 1142862 1306128 1523816 1578238 1741504 2285724 2367357 2612256 3047632 3156476 3483008 4571448 4734714 5224512 5523833 6095264 6312952 6966016 9142896 9469428 10449024 11047666 12190528 12625904 16571499 18285792 18938856 20898048 22095332 24381056 25251808 33142998 36571584 37877712 44190664 48762112 50503616 66285996 73143168 75755424 88381328 101007232 132571992 146286336 151510848 176762656 202014464 265143984 303021696 353525312 530287968 606043392 707050624 1060575936 1414101248 2121151872 4242303744