Search a number
-
+
961460948 = 22728955117
BaseRepresentation
bin111001010011101…
…011101011010100
32111000011021110202
4321103223223110
53432113222243
6235223240032
732553166100
oct7123535324
92430137422
10961460948
114537a0928
12229ba9018
13124265606
1491998900
155961c4b8
hex394ebad4

961460948 has 36 divisors (see below), whose sum is σ = 1979287380. Its totient is φ = 407417472.

The previous prime is 961460923. The next prime is 961460953. The reversal of 961460948 is 849064169.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 618914884 + 342546064 = 24878^2 + 18508^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10115 + ... + 45002.

It is an arithmetic number, because the mean of its divisors is an integer number (54980205).

Almost surely, 2961460948 is an apocalyptic number.

961460948 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

961460948 is an abundant number, since it is smaller than the sum of its proper divisors (1017826432).

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

961460948 is a wasteful number, since it uses less digits than its factorization.

961460948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55224 (or 55215 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 47.

The square root of 961460948 is about 31007.4337538597. The cubic root of 961460948 is about 986.9849938198.

The spelling of 961460948 in words is "nine hundred sixty-one million, four hundred sixty thousand, nine hundred forty-eight".

Divisors: 1 2 4 7 14 28 49 89 98 178 196 356 623 1246 2492 4361 8722 17444 55117 110234 220468 385819 771638 1543276 2700733 4905413 5401466 9810826 10802932 19621652 34337891 68675782 137351564 240365237 480730474 961460948