[go: up one dir, main page]

Search a number
-
+
5350371040 = 25577276571
BaseRepresentation
bin1001111101110100…
…00010111011100000
3111210212200000021101
410332322002323200
541424143333130
62242525004144
7246405255250
oct47672027340
914725600241
105350371040
1122a6165a53
1210539b3654
13673614931
1438a827960
15214ab51ca
hex13ee82ee0

5350371040 has 96 divisors (see below), whose sum is σ = 14468073984. Its totient is φ = 1831610880.

The previous prime is 5350371031. The next prime is 5350371043. The reversal of 5350371040 is 401730535.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5350371043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 810955 + ... + 817525.

It is an arithmetic number, because the mean of its divisors is an integer number (150709104).

Almost surely, 25350371040 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 5350371040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7234036992).

5350371040 is an abundant number, since it is smaller than the sum of its proper divisors (9117702944).

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

5350371040 is a wasteful number, since it uses less digits than its factorization.

5350371040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7320 (or 7312 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 28.

The square root of 5350371040 is about 73146.2305248876. The cubic root of 5350371040 is about 1749.0194278044.

The spelling of 5350371040 in words is "five billion, three hundred fifty million, three hundred seventy-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 727 1120 1454 2908 3635 5089 5816 6571 7270 10178 11632 13142 14540 20356 23264 25445 26284 29080 32855 40712 45997 50890 52568 58160 65710 81424 91994 101780 105136 116320 131420 162848 183988 203560 210272 229985 262840 367976 407120 459970 525680 735952 814240 919940 1051360 1471904 1839880 3679760 4777117 7359520 9554234 19108468 23885585 33439819 38216936 47771170 66879638 76433872 95542340 133759276 152867744 167199095 191084680 267518552 334398190 382169360 535037104 668796380 764338720 1070074208 1337592760 2675185520 5350371040