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98124481 = 71337151193
BaseRepresentation
bin1011101100101…
…00001011000001
320211122020111001
411312110023001
5200104440411
613423052001
72301021130
oct566241301
9224566431
1098124481
1150430414
1228a41001
1317437c30
14d063917
158933dc1
hex5d942c1

98124481 has 32 divisors (see below), whose sum is σ = 125500928. Its totient is φ = 74649600.

The previous prime is 98124473. The next prime is 98124541. The reversal of 98124481 is 18442189.

It is a 2-Lehmer number, since φ(98124481) divides (98124481-1)2.

It is a cyclic number.

It is not a de Polignac number, because 98124481 - 23 = 98124473 is a prime.

It is a super-2 number, since 2×981244812 = 19256827543038722, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 98124481.

It is not an unprimeable number, because it can be changed into a prime (98124401) 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, 508321 + ... + 508513.

It is an arithmetic number, because the mean of its divisors is an integer number (3921904).

It is a Poulet number, since it divides 298124480-1.

Almost surely, 298124481 is an apocalyptic number.

98124481 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

98124481 is a deficient number, since it is larger than the sum of its proper divisors (27376447).

98124481 is a wasteful number, since it uses less digits than its factorization.

98124481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401.

The product of its digits is 18432, while the sum is 37.

The square root of 98124481 is about 9905.7801812881. The cubic root of 98124481 is about 461.2387546801.

The spelling of 98124481 in words is "ninety-eight million, one hundred twenty-four thousand, four hundred eighty-one".

Divisors: 1 7 13 37 91 151 193 259 481 1057 1351 1963 2509 3367 5587 7141 13741 17563 29143 39109 49987 72631 92833 204001 378859 508417 649831 1078291 2652013 7548037 14017783 98124481