Search a number
-
+
98805144 = 23353173449
BaseRepresentation
bin1011110001110…
…10010110011000
320212220211011210
411320322112120
5200243231034
613445423120
72306554434
oct570722630
9225824153
1098805144
1150855849
122910aaa0
13176159a9
14d19d9c4
158a1a8e9
hex5e3a598

98805144 has 64 divisors (see below), whose sum is σ = 253692000. Its totient is φ = 32055296.

The previous prime is 98805137. The next prime is 98805151. The reversal of 98805144 is 44150889.

It is an interprime number because it is at equal distance from previous prime (98805137) and next prime (98805151).

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, 219832 + ... + 220280.

Almost surely, 298805144 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 98805144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126846000).

98805144 is an abundant number, since it is smaller than the sum of its proper divisors (154886856).

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

98805144 is a wasteful number, since it uses less digits than its factorization.

98805144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 98805144 is about 9940.0776656926. The cubic root of 98805144 is about 462.3027943280.

The spelling of 98805144 in words is "ninety-eight million, eight hundred five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 173 212 318 346 424 449 519 636 692 898 1038 1272 1347 1384 1796 2076 2694 3592 4152 5388 9169 10776 18338 23797 27507 36676 47594 55014 71391 73352 77677 95188 110028 142782 155354 190376 220056 233031 285564 310708 466062 571128 621416 932124 1864248 4116881 8233762 12350643 16467524 24701286 32935048 49402572 98805144