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98047040 = 2657213237
BaseRepresentation
bin1011101100000…
…01010001000000
320211111022020212
411312001101000
5200100001130
613421253252
72300246300
oct566012100
9224438225
1098047040
1150388213
1228a04228
131740b900
14d043600
15891ae95
hex5d81440

98047040 has 252 divisors, whose sum is σ = 302040036. Its totient is φ = 30191616.

The previous prime is 98047021. The next prime is 98047051. The reversal of 98047040 is 4074089.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 5271616 + 92775424 = 2296^2 + 9632^2 .

It is a super-2 number, since 2×980470402 = 19226444105523200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 98046988 and 98047006.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2649902 + ... + 2649938.

Almost surely, 298047040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98047040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151020018).

98047040 is an abundant number, since it is smaller than the sum of its proper divisors (203992996).

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

98047040 is a wasteful number, since it uses less digits than its factorization.

98047040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 98047040 is about 9901.8705303594. The cubic root of 98047040 is about 461.1173843869.

The spelling of 98047040 in words is "ninety-eight million, forty-seven thousand, forty".