Search a number
-
+
5126471000 = 235371136481
BaseRepresentation
bin1001100011000111…
…11011110101011000
3111020021100201011022
410301203323311120
540444334033000
62204410022012
7241016166410
oct46143736530
914207321138
105126471000
1121a08395a2
12bb0a17908
1363910ccc1
14368bc3640
152000d9585
hex1318fbd58

5126471000 has 128 divisors (see below), whose sum is σ = 13833106560. Its totient is φ = 1741824000.

The previous prime is 5126470991. The next prime is 5126471003. The reversal of 5126471000 is 1746215.

It is a super-3 number, since 3×51264710003 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5126471003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 787760 + ... + 794240.

It is an arithmetic number, because the mean of its divisors is an integer number (108071145).

Almost surely, 25126471000 is an apocalyptic number.

5126471000 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 5126471000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6916553280).

5126471000 is an abundant number, since it is smaller than the sum of its proper divisors (8706635560).

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

5126471000 is a wasteful number, since it uses less digits than its factorization.

5126471000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6622 (or 6608 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 5126471000 is about 71599.3784889227. The cubic root of 5126471000 is about 1724.2735581538.

The spelling of 5126471000 in words is "five billion, one hundred twenty-six million, four hundred seventy-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 113 125 140 175 200 226 250 280 350 452 500 565 700 791 875 904 1000 1130 1400 1582 1750 2260 2825 3164 3500 3955 4520 5650 6328 6481 7000 7910 11300 12962 14125 15820 19775 22600 25924 28250 31640 32405 39550 45367 51848 56500 64810 79100 90734 98875 113000 129620 158200 162025 181468 197750 226835 259240 324050 362936 395500 453670 648100 732353 791000 810125 907340 1134175 1296200 1464706 1620250 1814680 2268350 2929412 3240500 3661765 4536700 5126471 5670875 5858824 6481000 7323530 9073400 10252942 11341750 14647060 18308825 20505884 22683500 25632355 29294120 36617650 41011768 45367000 51264710 73235300 91544125 102529420 128161775 146470600 183088250 205058840 256323550 366176500 512647100 640808875 732353000 1025294200 1281617750 2563235500 5126471000