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98086464 = 263571753
BaseRepresentation
bin1011101100010…
…10111001000000
320211120022100000
411312022321000
5200102231324
613422200000
72300502240
oct566127100
9224508300
1098086464
11504048a3
1228a23000
1317423838
14d053b20
1589279c9
hex5d8ae40

98086464 has 336 divisors, whose sum is σ = 359468928. Its totient is φ = 25878528.

The previous prime is 98086463. The next prime is 98086487. The reversal of 98086464 is 46468089.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98086463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1850662 + ... + 1850714.

It is an arithmetic number, because the mean of its divisors is an integer number (1069848).

Almost surely, 298086464 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 98086464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179734464).

98086464 is an abundant number, since it is smaller than the sum of its proper divisors (261382464).

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

98086464 is a wasteful number, since it uses less digits than its factorization.

98086464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 98086464 is about 9903.8610652614. The cubic root of 98086464 is about 461.1791800847.

The spelling of 98086464 in words is "ninety-eight million, eighty-six thousand, four hundred sixty-four".