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48668956 = 2273191867
BaseRepresentation
bin1011100110101…
…0000100011100
310101120122020221
42321222010130
544424401311
64455051124
71130452000
oct271520434
9111518227
1048668956
1125521786
1214370aa4
13a1105cb
14666c700
154415671
hex2e6a11c

48668956 has 48 divisors (see below), whose sum is σ = 104608000. Its totient is φ = 19749744.

The previous prime is 48668953. The next prime is 48668981. The reversal of 48668956 is 65986684.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48668953) 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, 25135 + ... + 27001.

Almost surely, 248668956 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 48668956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52304000).

48668956 is an abundant number, since it is smaller than the sum of its proper divisors (55939044).

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

48668956 is a wasteful number, since it uses less digits than its factorization.

48668956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1911 (or 1895 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 52.

The square root of 48668956 is about 6976.3139264227. The cubic root of 48668956 is about 365.1046325410.

The spelling of 48668956 in words is "forty-eight million, six hundred sixty-eight thousand, nine hundred fifty-six".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 196 266 343 532 686 931 1372 1862 1867 3724 3734 6517 7468 13034 13069 26068 26138 35473 52276 70946 91483 141892 182966 248311 365932 496622 640381 993244 1280762 1738177 2561524 3476354 6952708 12167239 24334478 48668956