Search a number
-
+
96164952 = 233131931597
BaseRepresentation
bin1011011101101…
…01110001011000
320200221200111220
411232311301120
5144104234302
613313052040
72245250202
oct556656130
9220850456
1096164952
114a312174
1228257020
1316c00050
14cab3772
1586984bc
hex5bb5c58

96164952 has 64 divisors (see below), whose sum is σ = 260410080. Its totient is φ = 29417472.

The previous prime is 96164951. The next prime is 96164963. The reversal of 96164952 is 25946169.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96164951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59418 + ... + 61014.

Almost surely, 296164952 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 96164952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130205040).

96164952 is an abundant number, since it is smaller than the sum of its proper divisors (164245128).

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

96164952 is a wasteful number, since it uses less digits than its factorization.

96164952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812 (or 1808 counting only the distinct ones).

The product of its digits is 116640, while the sum is 42.

The square root of 96164952 is about 9806.3730298210. The cubic root of 96164952 is about 458.1478009915.

The spelling of 96164952 in words is "ninety-six million, one hundred sixty-four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 193 312 386 579 772 1158 1544 1597 2316 2509 3194 4632 4791 5018 6388 7527 9582 10036 12776 15054 19164 20072 20761 30108 38328 41522 60216 62283 83044 124566 166088 249132 308221 498264 616442 924663 1232884 1849326 2465768 3698652 4006873 7397304 8013746 12020619 16027492 24041238 32054984 48082476 96164952