Search a number
-
+
68948500 = 2253731889
BaseRepresentation
bin1000001110000…
…01001000010100
311210201221120011
410013001020110
5120122323000
610501450004
71465024015
oct407011024
9153657504
1068948500
1135a13035
121b110904
131139103a
14922b00c
1560be2ba
hex41c1214

68948500 has 48 divisors (see below), whose sum is σ = 152727120. Its totient is φ = 27187200.

The previous prime is 68948497. The next prime is 68948513. The reversal of 68948500 is 584986.

It can be written as a sum of positive squares in 8 ways, for example, as 20757136 + 48191364 = 4556^2 + 6942^2 .

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, 35556 + ... + 37444.

It is an arithmetic number, because the mean of its divisors is an integer number (3181815).

Almost surely, 268948500 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 68948500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76363560).

68948500 is an abundant number, since it is smaller than the sum of its proper divisors (83778620).

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

68948500 is a wasteful number, since it uses less digits than its factorization.

68948500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1981 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 68948500 is about 8303.5233485551. The cubic root of 68948500 is about 410.0545237820.

The spelling of 68948500 in words is "sixty-eight million, nine hundred forty-eight thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 125 146 250 292 365 500 730 1460 1825 1889 3650 3778 7300 7556 9125 9445 18250 18890 36500 37780 47225 94450 137897 188900 236125 275794 472250 551588 689485 944500 1378970 2757940 3447425 6894850 13789700 17237125 34474250 68948500