Search a number
-
+
98604768 = 2539710589
BaseRepresentation
bin1011110000010…
…01011011100000
320212112122022110
411320021123200
5200220323033
613441235320
72305061313
oct570113340
9225478273
1098604768
1150729249
1229032b40
1317575722
14d14a97a
1589cb363
hex5e096e0

98604768 has 48 divisors (see below), whose sum is σ = 261530640. Its totient is φ = 32526336.

The previous prime is 98604767. The next prime is 98604787. The reversal of 98604768 is 86740689.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98604761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4018 + ... + 14606.

It is an arithmetic number, because the mean of its divisors is an integer number (5448555).

Almost surely, 298604768 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 98604768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130765320).

98604768 is an abundant number, since it is smaller than the sum of its proper divisors (162925872).

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

98604768 is a wasteful number, since it uses less digits than its factorization.

98604768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10699 (or 10691 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 98604768 is about 9929.9933534721. The cubic root of 98604768 is about 461.9900674389.

The spelling of 98604768 in words is "ninety-eight million, six hundred four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 97 194 291 388 582 776 1164 1552 2328 3104 4656 9312 10589 21178 31767 42356 63534 84712 127068 169424 254136 338848 508272 1016544 1027133 2054266 3081399 4108532 6162798 8217064 12325596 16434128 24651192 32868256 49302384 98604768