Search a number
-
+
4157191536 = 243374315431
BaseRepresentation
bin1111011111001001…
…1011010101110000
3101201201111012200220
43313302123111300
532003220112121
61524303013040
7205006354641
oct36762332560
911651435626
104157191536
111843698593
1298029a180
1351336aa64
142b61916c8
15194e756c6
hexf7c9b570

4157191536 has 80 divisors (see below), whose sum is σ = 11057292288. Its totient is φ = 1344902400.

The previous prime is 4157191477. The next prime is 4157191537. The reversal of 4157191536 is 6351917514.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4157191537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 762741 + ... + 768171.

Almost surely, 24157191536 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 4157191536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5528646144).

4157191536 is an abundant number, since it is smaller than the sum of its proper divisors (6900100752).

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

4157191536 is a wasteful number, since it uses less digits than its factorization.

4157191536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5910 (or 5904 counting only the distinct ones).

The product of its digits is 113400, while the sum is 42.

The square root of 4157191536 is about 64476.2866176395. The cubic root of 4157191536 is about 1607.9282968448.

The spelling of 4157191536 in words is "four billion, one hundred fifty-seven million, one hundred ninety-one thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 431 444 592 862 888 1293 1724 1776 2586 3448 5172 5431 6896 10344 10862 15947 16293 20688 21724 31894 32586 43448 47841 63788 65172 86896 95682 127576 130344 191364 200947 255152 260688 382728 401894 602841 765456 803788 1205682 1607576 2340761 2411364 3215152 4681522 4822728 7022283 9363044 9645456 14044566 18726088 28089132 37452176 56178264 86608157 112356528 173216314 259824471 346432628 519648942 692865256 1039297884 1385730512 2078595768 4157191536