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5717007400 = 23521319311393
BaseRepresentation
bin1010101001100001…
…01001110000101000
3112202102120001210211
411110300221300220
543202023214100
62343143150504
7261446522026
oct52460516050
915672501724
105717007400
112474113305
121136745434
13701574220
143c33c5716
15236d881ba
hex154c29c28

5717007400 has 96 divisors (see below), whose sum is σ = 14389938360. Its totient is φ = 2099773440.

The previous prime is 5717007349. The next prime is 5717007403. The reversal of 5717007400 is 47007175.

It can be written as a sum of positive squares in 12 ways, for example, as 12830724 + 5704176676 = 3582^2 + 75526^2 .

It is a super-2 number, since 2×57170074002 = 65368347223309520000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5717007403) by changing a digit.

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, 496104 + ... + 507496.

Almost surely, 25717007400 is an apocalyptic number.

5717007400 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 5717007400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7194969180).

5717007400 is an abundant number, since it is smaller than the sum of its proper divisors (8672930960).

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

5717007400 is a wasteful number, since it uses less digits than its factorization.

5717007400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11615 (or 11606 counting only the distinct ones).

The product of its (nonzero) digits is 6860, while the sum is 31.

The square root of 5717007400 is about 75610.8947176265. The cubic root of 5717007400 is about 1788.0908663305.

The spelling of 5717007400 in words is "five billion, seven hundred seventeen million, seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 193 200 260 325 386 520 650 772 965 1300 1544 1930 2509 2600 3860 4825 5018 7720 9650 10036 11393 12545 19300 20072 22786 25090 38600 45572 50180 56965 62725 91144 100360 113930 125450 148109 227860 250900 284825 296218 455720 501800 569650 592436 740545 1139300 1184872 1481090 2198849 2278600 2962180 3702725 4397698 5924360 7405450 8795396 10994245 14810900 17590792 21988490 28585037 29621800 43976980 54971225 57170074 87953960 109942450 114340148 142925185 219884900 228680296 285850370 439769800 571700740 714625925 1143401480 1429251850 2858503700 5717007400