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5042070288 = 2433731011583
BaseRepresentation
bin1001011001000011…
…11110001100010000
3111000101112201011000
410230201332030100
540311232222123
62152153022000
7235642614243
oct45441761420
914011481130
105042070288
112158132042
12b886b4900
1362479b858
1435b8d325a
151e79b6b43
hex12c87e310

5042070288 has 160 divisors (see below), whose sum is σ = 14825479680. Its totient is φ = 1640217600.

The previous prime is 5042070269. The next prime is 5042070289. The reversal of 5042070288 is 8820702405.

It is a happy number.

5042070288 is a `hidden beast` number, since 504 + 2 + 0 + 70 + 2 + 88 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5042070289) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3184345 + ... + 3185927.

It is an arithmetic number, because the mean of its divisors is an integer number (92659248).

Almost surely, 25042070288 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 5042070288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7412739840).

5042070288 is an abundant number, since it is smaller than the sum of its proper divisors (9783409392).

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

5042070288 is a wasteful number, since it uses less digits than its factorization.

5042070288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1774 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 5042070288 is about 71007.5368394088. The cubic root of 5042070288 is about 1714.7585034529.

The spelling of 5042070288 in words is "five billion, forty-two million, seventy thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 73 101 108 144 146 202 216 219 292 303 404 432 438 584 606 657 808 876 909 1168 1212 1314 1583 1616 1752 1818 1971 2424 2628 2727 3166 3504 3636 3942 4749 4848 5256 5454 6332 7272 7373 7884 9498 10512 10908 12664 14247 14544 14746 15768 18996 21816 22119 25328 28494 29492 31536 37992 42741 43632 44238 56988 58984 66357 75984 85482 88476 113976 115559 117968 132714 159883 170964 176952 199071 227952 231118 265428 319766 341928 346677 353904 398142 462236 479649 530856 639532 683856 693354 796284 924472 959298 1040031 1061712 1279064 1386708 1438947 1592568 1848944 1918596 2080062 2558128 2773416 2877894 3120093 3185136 3837192 4160124 4316841 5546832 5755788 6240186 7674384 8320248 8633682 11511576 11671459 12480372 16640496 17267364 23023152 23342918 24960744 34534728 35014377 46685836 49921488 69069456 70028754 93371672 105043131 140057508 186743344 210086262 280115016 315129393 420172524 560230032 630258786 840345048 1260517572 1680690096 2521035144 5042070288