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5190059400 = 2335216751797
BaseRepresentation
bin1001101010101101…
…00000010110001000
3111101201000100001020
410311112200112020
541112123400100
62215000552440
7242420530341
oct46526402610
914351010036
105190059400
112223720499
12100a182720
13649345386
143734170c8
1520599a5a0
hex1355a0588

5190059400 has 96 divisors (see below), whose sum is σ = 16185839040. Its totient is φ = 1375701760.

The previous prime is 5190059393. The next prime is 5190059447. The reversal of 5190059400 is 49500915.

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 23 ways as a sum of consecutive naturals, for example, 74302 + ... + 126098.

It is an arithmetic number, because the mean of its divisors is an integer number (168602490).

Almost surely, 25190059400 is an apocalyptic number.

5190059400 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 5190059400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8092919520).

5190059400 is an abundant number, since it is smaller than the sum of its proper divisors (10995779640).

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

5190059400 is a wasteful number, since it uses less digits than its factorization.

5190059400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51983 (or 51974 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 33.

The square root of 5190059400 is about 72042.0668776237. The cubic root of 5190059400 is about 1731.3735402551.

The spelling of 5190059400 in words is "five billion, one hundred ninety million, fifty-nine thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 167 200 300 334 501 600 668 835 1002 1336 1670 2004 2505 3340 4008 4175 5010 6680 8350 10020 12525 16700 20040 25050 33400 50100 51797 100200 103594 155391 207188 258985 310782 414376 517970 621564 776955 1035940 1243128 1294925 1553910 2071880 2589850 3107820 3884775 5179700 6215640 7769550 8650099 10359400 15539100 17300198 25950297 31078200 34600396 43250495 51900594 69200792 86500990 103801188 129751485 173001980 207602376 216252475 259502970 346003960 432504950 519005940 648757425 865009900 1038011880 1297514850 1730019800 2595029700 5190059400