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5348834008 = 237292137829
BaseRepresentation
bin1001111101101000…
…01011101011011000
3111210202202220212021
410332310023223120
541423300142013
62242432024224
7246356224150
oct47664135330
914722686767
105348834008
1122a5306181
121053392074
136731c714b
1438a547760
152148aea8d
hex13ed0bad8

5348834008 has 96 divisors (see below), whose sum is σ = 11971720800. Its totient is φ = 2194504704.

The previous prime is 5348834003. The next prime is 5348834011. The reversal of 5348834008 is 8004388435.

It is a super-2 number, since 2×53488340082 = 57220050490274688128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5348834003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6451738 + ... + 6452566.

It is an arithmetic number, because the mean of its divisors is an integer number (124705425).

Almost surely, 25348834008 is an apocalyptic number.

5348834008 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5348834008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5985860400).

5348834008 is an abundant number, since it is smaller than the sum of its proper divisors (6622886792).

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

5348834008 is a wasteful number, since it uses less digits than its factorization.

5348834008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 43.

The square root of 5348834008 is about 73135.7232000888. The cubic root of 5348834008 is about 1748.8519281253.

The spelling of 5348834008 in words is "five billion, three hundred forty-eight million, eight hundred thirty-four thousand, eight".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 137 203 232 274 406 548 812 829 841 959 1096 1624 1658 1682 1918 3316 3364 3836 3973 5803 5887 6632 6728 7672 7946 11606 11774 15892 23212 23548 24041 27811 31784 46424 47096 48082 55622 96164 111244 113573 115217 168287 192328 222488 227146 230434 336574 454292 460868 673148 697189 795011 806519 908584 921736 1346296 1394378 1590022 1613038 2788756 3180044 3226076 3293617 4880323 5577512 6360088 6452152 6587234 9760646 13174468 19521292 23055319 26348936 39042584 46110638 92221276 95514893 184442552 191029786 382059572 668604251 764119144 1337208502 2674417004 5348834008