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5056959400 = 2352172364667
BaseRepresentation
bin1001011010110101…
…10001001110101000
3111001102120011011121
410231122301032220
540324040200100
62153444105024
7236213305603
oct45532611650
914042504147
105056959400
112165581499
12b91695174
136278b288c
1435d88b33a
151e8e5851a
hex12d6b13a8

5056959400 has 96 divisors (see below), whose sum is σ = 12990507840. Its totient is φ = 1820994560.

The previous prime is 5056959373. The next prime is 5056959409. The reversal of 5056959400 is 49596505.

It is not an unprimeable number, because it can be changed into a prime (5056959409) 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, 45867 + ... + 110533.

It is an arithmetic number, because the mean of its divisors is an integer number (135317790).

Almost surely, 25056959400 is an apocalyptic number.

5056959400 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 5056959400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6495253920).

5056959400 is an abundant number, since it is smaller than the sum of its proper divisors (7933548440).

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

5056959400 is a wasteful number, since it uses less digits than its factorization.

5056959400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64723 (or 64714 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 43.

The square root of 5056959400 is about 71112.3013268450. The cubic root of 5056959400 is about 1716.4447249231. Note that the first 3 decimals are identical.

The spelling of 5056959400 in words is "five billion, fifty-six million, nine hundred fifty-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 23 25 34 40 46 50 68 85 92 100 115 136 170 184 200 230 340 391 425 460 575 680 782 850 920 1150 1564 1700 1955 2300 3128 3400 3910 4600 7820 9775 15640 19550 39100 64667 78200 129334 258668 323335 517336 646670 1099339 1293340 1487341 1616675 2198678 2586680 2974682 3233350 4397356 5496695 5949364 6466700 7436705 8794712 10993390 11898728 12933400 14873410 21986780 25284797 27483475 29746820 37183525 43973560 50569594 54966950 59493640 74367050 101139188 109933900 126423985 148734100 202278376 219867800 252847970 297468200 505695940 632119925 1011391880 1264239850 2528479700 5056959400