Search a number
-
+
98101608 = 233113111987
BaseRepresentation
bin1011101100011…
…10100101101000
320211121002002220
411312032211220
5200103222413
613422354040
72300564343
oct566164550
9224532086
1098101608
1150415210
1228a2b920
131742a6b7
14d05945a
15892c223
hex5d8e968

98101608 has 64 divisors (see below), whose sum is σ = 276203520. Its totient is φ = 28766400.

The previous prime is 98101589. The next prime is 98101609. The reversal of 98101608 is 80610189.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (98101609) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2191 + ... + 14177.

It is an arithmetic number, because the mean of its divisors is an integer number (4315680).

Almost surely, 298101608 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 98101608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138101760).

98101608 is an abundant number, since it is smaller than the sum of its proper divisors (178101912).

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

98101608 is a wasteful number, since it uses less digits than its factorization.

98101608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12038 (or 12034 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The square root of 98101608 is about 9904.6255860583. The cubic root of 98101608 is about 461.2029133564.

The spelling of 98101608 in words is "ninety-eight million, one hundred one thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 132 186 248 264 341 372 682 744 1023 1364 2046 2728 4092 8184 11987 23974 35961 47948 71922 95896 131857 143844 263714 287688 371597 395571 527428 743194 791142 1054856 1114791 1486388 1582284 2229582 2972776 3164568 4087567 4459164 8175134 8918328 12262701 16350268 24525402 32700536 49050804 98101608