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98288916 = 223111076959
BaseRepresentation
bin1011101101111…
…00010100010100
320211221121001020
411312330110110
5200130221131
613430401140
72302304415
oct566742424
9224847036
1098288916
1150532a10
1228b001b0
1317494a2b
14d0a780c
158967996
hex5dbc514

98288916 has 48 divisors (see below), whose sum is σ = 252564480. Its totient is φ = 29501920.

The previous prime is 98288899. The next prime is 98288923. The reversal of 98288916 is 61988289.

It is a super-2 number, since 2×982889162 = 19321422016910112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10645 + ... + 17603.

It is an arithmetic number, because the mean of its divisors is an integer number (5261760).

Almost surely, 298288916 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 98288916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126282240).

98288916 is an abundant number, since it is smaller than the sum of its proper divisors (154275564).

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

98288916 is a wasteful number, since it uses less digits than its factorization.

98288916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7084 (or 7082 counting only the distinct ones).

The product of its digits is 497664, while the sum is 51.

The square root of 98288916 is about 9914.0766589733. The cubic root of 98288916 is about 461.4962557218.

It can be divided in two parts, 982 and 88916, that added together give a palindrome (89898).

The spelling of 98288916 in words is "ninety-eight million, two hundred eighty-eight thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 107 132 214 321 428 642 1177 1284 2354 3531 4708 6959 7062 13918 14124 20877 27836 41754 76549 83508 153098 229647 306196 459294 744613 918588 1489226 2233839 2978452 4467678 8190743 8935356 16381486 24572229 32762972 49144458 98288916