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98906676 = 223111913923
BaseRepresentation
bin1011110010100…
…11001000110100
320220002222110020
411321103020310
5200310003201
613451525140
72310456441
oct571231064
9226088406
1098906676
1150915060
12291597b0
131764cc7b
14d1c89c8
158a3aa36
hex5e53234

98906676 has 48 divisors (see below), whose sum is σ = 253145088. Its totient is φ = 29807200.

The previous prime is 98906671. The next prime is 98906699. The reversal of 98906676 is 67660989.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98906671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23251 + ... + 27173.

It is an arithmetic number, because the mean of its divisors is an integer number (5273856).

Almost surely, 298906676 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 98906676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126572544).

98906676 is an abundant number, since it is smaller than the sum of its proper divisors (154238412).

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

98906676 is a wasteful number, since it uses less digits than its factorization.

98906676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4132 (or 4130 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The square root of 98906676 is about 9945.1835578837. The cubic root of 98906676 is about 462.4610939759.

The spelling of 98906676 in words is "ninety-eight million, nine hundred six thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 191 382 573 764 1146 2101 2292 3923 4202 6303 7846 8404 11769 12606 15692 23538 25212 43153 47076 86306 129459 172612 258918 517836 749293 1498586 2247879 2997172 4495758 8242223 8991516 16484446 24726669 32968892 49453338 98906676