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5392319100 = 2235278330937
BaseRepresentation
bin1010000010110100…
…00100001001111100
3111220210121012012020
411001122010021330
542020413202400
62251024040140
7250424645640
oct50132041174
914823535166
105392319100
112317907173
121065a63050
1367c21107c
14392226c20
152185ee2a0
hex14168427c

5392319100 has 144 divisors (see below), whose sum is σ = 18046011648. Its totient is φ = 1217640960.

The previous prime is 5392319083. The next prime is 5392319123. The reversal of 5392319100 is 19132935.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158832 + ... + 189768.

Almost surely, 25392319100 is an apocalyptic number.

5392319100 is a gapful number since it is divisible by the number (50) 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 5392319100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9023005824).

5392319100 is an abundant number, since it is smaller than the sum of its proper divisors (12653692548).

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

5392319100 is a wasteful number, since it uses less digits than its factorization.

5392319100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31044 (or 31037 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 33.

The square root of 5392319100 is about 73432.4117811747. The cubic root of 5392319100 is about 1753.5784301578.

The spelling of 5392319100 in words is "five billion, three hundred ninety-two million, three hundred nineteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 83 84 100 105 140 150 166 175 210 249 300 332 350 415 420 498 525 581 700 830 996 1050 1162 1245 1660 1743 2075 2100 2324 2490 2905 3486 4150 4980 5810 6225 6972 8300 8715 11620 12450 14525 17430 24900 29050 30937 34860 43575 58100 61874 87150 92811 123748 154685 174300 185622 216559 309370 371244 433118 464055 618740 649677 773425 866236 928110 1082795 1299354 1546850 1856220 2165590 2320275 2567771 2598708 3093700 3248385 4331180 4640550 5135542 5413975 6496770 7703313 9281100 10271084 10827950 12838855 12993540 15406626 16241925 17974397 21655900 25677710 30813252 32483850 35948794 38516565 51355420 53923191 64194275 64967700 71897588 77033130 89871985 107846382 128388550 154066260 179743970 192582825 215692764 256777100 269615955 359487940 385165650 449359925 539231910 770331300 898719850 1078463820 1348079775 1797439700 2696159550 5392319100