Search a number
-
+
49192467360 = 2535109940223
BaseRepresentation
bin101101110100000110…
…010111101110100000
311200222022022021002120
4231310012113232200
51301221232423420
634333153144240
73361015034121
oct556406275640
9150868267076
1049192467360
1119953957903
12964a55b080
13483c68036a
1425493a4048
15142da30d40
hexb74197ba0

49192467360 has 96 divisors (see below), whose sum is σ = 156378055680. Its totient is φ = 12997628928.

The previous prime is 49192467353. The next prime is 49192467409. The reversal of 49192467360 is 6376429194.

It is a happy number.

49192467360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 417792 + ... + 522431.

It is an arithmetic number, because the mean of its divisors is an integer number (1628938080).

Almost surely, 249192467360 is an apocalyptic number.

49192467360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

49192467360 is an abundant number, since it is smaller than the sum of its proper divisors (107185588320).

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

49192467360 is a wasteful number, since it uses less digits than its factorization.

49192467360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940350 (or 940342 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The spelling of 49192467360 in words is "forty-nine billion, one hundred ninety-two million, four hundred sixty-seven thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 109 120 160 218 240 327 436 480 545 654 872 1090 1308 1635 1744 2180 2616 3270 3488 4360 5232 6540 8720 10464 13080 17440 26160 52320 940223 1880446 2820669 3760892 4701115 5641338 7521784 9402230 11282676 14103345 15043568 18804460 22565352 28206690 30087136 37608920 45130704 56413380 75217840 90261408 102484307 112826760 150435680 204968614 225653520 307452921 409937228 451307040 512421535 614905842 819874456 1024843070 1229811684 1537264605 1639748912 2049686140 2459623368 3074529210 3279497824 4099372280 4919246736 6149058420 8198744560 9838493472 12298116840 16397489120 24596233680 49192467360