Search a number
-
+
95491984 = 24723492
BaseRepresentation
bin1011011000100…
…01011110010000
320122200111101011
411230101132100
5143421220414
613250420304
72236445200
oct554213620
9218614334
1095491984
11499a25a5
1227b91694
1316a25943
14c97a400
1585b3dc4
hex5b11790

95491984 has 45 divisors (see below), whose sum is σ = 215840817. Its totient is φ = 40807872.

The previous prime is 95491969. The next prime is 95492011. The reversal of 95491984 is 48919459.

It is a happy number.

The square root of 95491984 is 9772.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 70090384 + 25401600 = 8372^2 + 5040^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

Its product of digits (466560) is a multiple of the sum of its prime factors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 273442 + ... + 273790.

Almost surely, 295491984 is an apocalyptic number.

95491984 is the 9772-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95491984

95491984 is an abundant number, since it is smaller than the sum of its proper divisors (120348833).

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

95491984 is an equidigital number, since it uses as much as digits as its factorization.

95491984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 358 counting only the distinct ones).

The product of its digits is 466560, while the sum is 49.

The cubic root of 95491984 is about 457.0765831752.

Multiplying 95491984 by its sum of digits (49), we get a square (4679107216 = 684042).

95491984 divided by its sum of digits (49) gives a square (1948816 = 13962).

The spelling of 95491984 in words is "ninety-five million, four hundred ninety-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 349 392 698 784 1396 2443 2792 4886 5584 9772 17101 19544 34202 39088 68404 121801 136808 243602 273616 487204 852607 974408 1705214 1948816 3410428 5968249 6820856 11936498 13641712 23872996 47745992 95491984