[go: up one dir, main page]

Search a number
-
+
5146273792 = 21111317369
BaseRepresentation
bin1001100101011110…
…11110100000000000
3111021122121210111001
410302233132200000
541014421230132
62210354301344
7241346414452
oct46257364000
914248553431
105146273792
112200a34740
12bb7587854
1364025472a
1436b69a2d2
15201bebce7
hex132bde800

5146273792 has 96 divisors (see below), whose sum is σ = 11589177600. Its totient is φ = 2263449600.

The previous prime is 5146273771. The next prime is 5146273831. The reversal of 5146273792 is 2973726415.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 694684 + ... + 702052.

It is an arithmetic number, because the mean of its divisors is an integer number (120720600).

Almost surely, 25146273792 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 5146273792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5794588800).

5146273792 is an abundant number, since it is smaller than the sum of its proper divisors (6442903808).

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

5146273792 is a wasteful number, since it uses less digits than its factorization.

5146273792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7433 (or 7413 counting only the distinct ones).

The product of its digits is 635040, while the sum is 46.

The square root of 5146273792 is about 71737.5340529628. The cubic root of 5146273792 is about 1726.4909092647.

The spelling of 5146273792 in words is "five billion, one hundred forty-six million, two hundred seventy-three thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 128 176 248 256 341 352 496 512 682 704 992 1024 1364 1408 1984 2048 2728 2816 3968 5456 5632 7369 7936 10912 11264 14738 15872 21824 22528 29476 31744 43648 58952 63488 81059 87296 117904 162118 174592 228439 235808 324236 349184 456878 471616 648472 698368 913756 943232 1296944 1827512 1886464 2512829 2593888 3655024 3772928 5025658 5187776 7310048 7545856 10051316 10375552 14620096 15091712 20102632 20751104 29240192 40205264 41502208 58480384 80410528 83004416 116960768 160821056 166008832 233921536 321642112 467843072 643284224 1286568448 2573136896 5146273792