Search a number
-
+
5157886528 = 261923223827
BaseRepresentation
bin1001100110110111…
…10001101001000000
3111022110110210011101
410303123301221000
541030404332103
62211451224144
7241550212024
oct46333615100
914273423141
105157886528
112207546543
12bbb448054
1364278c382
1436d040384
15202c42a1d
hex1336f1a40

5157886528 has 112 divisors (see below), whose sum is σ = 11306373120. Its totient is φ = 2323689984.

The previous prime is 5157886523. The next prime is 5157886619. The reversal of 5157886528 is 8256887515.

It is not an unprimeable number, because it can be changed into a prime (5157886523) 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, 6236451 + ... + 6237277.

It is an arithmetic number, because the mean of its divisors is an integer number (100949760).

Almost surely, 25157886528 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 5157886528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5653186560).

5157886528 is an abundant number, since it is smaller than the sum of its proper divisors (6148486592).

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

5157886528 is a wasteful number, since it uses less digits than its factorization.

5157886528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1094 counting only the distinct ones).

The product of its digits is 5376000, while the sum is 55.

The square root of 5157886528 is about 71818.4274960125. The cubic root of 5157886528 is about 1727.7885615208.

The spelling of 5157886528 in words is "five billion, one hundred fifty-seven million, eight hundred eighty-six thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 19 23 32 38 46 64 76 92 152 184 223 304 368 437 446 608 736 827 874 892 1216 1472 1654 1748 1784 3308 3496 3568 4237 5129 6616 6992 7136 8474 10258 13232 13984 14272 15713 16948 19021 20516 26464 27968 31426 33896 38042 41032 52928 62852 67792 76084 82064 97451 125704 135584 152168 164128 184421 194902 251408 271168 304336 328256 361399 368842 389804 502816 608672 722798 737684 779608 1005632 1217344 1445596 1475368 1559216 2891192 2950736 3118432 3503999 4241683 5782384 5901472 6236864 7007998 8483366 11564768 11802944 14015996 16966732 23129536 28031992 33933464 56063984 67866928 80591977 112127968 135733856 161183954 224255936 271467712 322367908 644735816 1289471632 2578943264 5157886528