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98125813 = 372229313
BaseRepresentation
bin1011101100101…
…00011111110101
320211122022022101
411312110133311
5200110011223
613423102101
72301025042
oct566243765
9224568271
1098125813
1150431415
1228a41931
1317438716
14d0641c9
1589344ad
hex5d947f5

98125813 has 12 divisors (see below), whose sum is σ = 101613540. Its totient is φ = 94753152.

The previous prime is 98125789. The next prime is 98125817. The reversal of 98125813 is 31852189.

It can be written as a sum of positive squares in 6 ways, for example, as 12341169 + 85784644 = 3513^2 + 9262^2 .

It is a de Polignac number, because none of the positive numbers 2k-98125813 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98125817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 313345 + ... + 313657.

It is an arithmetic number, because the mean of its divisors is an integer number (8467795).

Almost surely, 298125813 is an apocalyptic number.

It is an amenable number.

98125813 is a deficient number, since it is larger than the sum of its proper divisors (3487727).

98125813 is a wasteful number, since it uses less digits than its factorization.

98125813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 579 counting only the distinct ones).

The product of its digits is 17280, while the sum is 37.

The square root of 98125813 is about 9905.8474145325. The cubic root of 98125813 is about 461.2408417137.

It can be divided in two parts, 9812 and 5813, that added together give a 6-th power (15625 = 56).

The spelling of 98125813 in words is "ninety-eight million, one hundred twenty-five thousand, eight hundred thirteen".

Divisors: 1 37 229 313 1369 8473 11581 71677 313501 428497 2652049 98125813