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5076157000 = 235331373439
BaseRepresentation
bin1001011101001000…
…00000001001001000
3111002202200111022211
410232210000021020
540343444011000
62155411354504
7236535423355
oct45644001110
914082614284
105076157000
1121753a3982
12b97bb2a34
1362b8749c5
1436224762c
151ea99b7ba
hex12e900248

5076157000 has 128 divisors (see below), whose sum is σ = 12322252800. Its totient is φ = 1955232000.

The previous prime is 5076156997. The next prime is 5076157019. The reversal of 5076157000 is 7516705.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11562781 + ... + 11563219.

It is an arithmetic number, because the mean of its divisors is an integer number (96267600).

Almost surely, 25076157000 is an apocalyptic number.

5076157000 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 5076157000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6161126400).

5076157000 is an abundant number, since it is smaller than the sum of its proper divisors (7246095800).

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

5076157000 is a wasteful number, since it uses less digits than its factorization.

5076157000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 7350, while the sum is 31.

The square root of 5076157000 is about 71247.1543291379. The cubic root of 5076157000 is about 1718.6140132631.

The spelling of 5076157000 in words is "five billion, seventy-six million, one hundred fifty-seven thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 125 155 200 248 250 310 373 439 500 620 746 775 878 1000 1240 1492 1550 1756 1865 2195 2984 3100 3512 3730 3875 4390 6200 7460 7750 8780 9325 10975 11563 13609 14920 15500 17560 18650 21950 23126 27218 31000 37300 43900 46252 46625 54436 54875 57815 68045 74600 87800 92504 93250 108872 109750 115630 136090 163747 186500 219500 231260 272180 289075 327494 340225 373000 439000 462520 544360 578150 654988 680450 818735 1156300 1309976 1360900 1445375 1637470 1701125 2312600 2721800 2890750 3274940 3402250 4093675 5076157 5781500 6549880 6804500 8187350 10152314 11563000 13609000 16374700 20304628 20468375 25380785 32749400 40609256 40936750 50761570 81873500 101523140 126903925 163747000 203046280 253807850 507615700 634519625 1015231400 1269039250 2538078500 5076157000