Search a number
-
+
98248536 = 23321399817
BaseRepresentation
bin1011101101100…
…10011101011000
320211212112122200
411312302131120
5200122423121
613425450200
72302045611
oct566623530
9224775580
1098248536
1150505641
1228aa0960
131747c539
14d096c08
15895aa26
hex5db2758

98248536 has 48 divisors (see below), whose sum is σ = 268031400. Its totient is φ = 32510592.

The previous prime is 98248529. The next prime is 98248537. The reversal of 98248536 is 63584289.

98248536 is a `hidden beast` number, since 98 + 24 + 8 + 536 = 666.

It is a super-2 number, since 2×982485362 = 19305549652286592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 98248491 and 98248500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98248537) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5100 + ... + 14916.

Almost surely, 298248536 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 98248536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134015700).

98248536 is an abundant number, since it is smaller than the sum of its proper divisors (169782864).

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

98248536 is a wasteful number, since it uses less digits than its factorization.

98248536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9968 (or 9961 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 98248536 is about 9912.0399514933. The cubic root of 98248536 is about 461.4330482849.

The spelling of 98248536 in words is "ninety-eight million, two hundred forty-eight thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 139 278 417 556 834 1112 1251 1668 2502 3336 5004 9817 10008 19634 29451 39268 58902 78536 88353 117804 176706 235608 353412 706824 1364563 2729126 4093689 5458252 8187378 10916504 12281067 16374756 24562134 32749512 49124268 98248536