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48642968 = 23112311621
BaseRepresentation
bin1011100110001…
…1101110011000
310101112022121102
42321203232120
544423033333
64454330532
71130313143
oct271435630
9111468542
1048642968
1125504200
1214359a48
13a10182a
14666305a
15440cae8
hex2e63b98

48642968 has 48 divisors (see below), whose sum is σ = 103548480. Its totient is φ = 21384000.

The previous prime is 48642961. The next prime is 48642973. The reversal of 48642968 is 86924684.

It is a super-2 number, since 2×486429682 = 4732276671698048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48642961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29198 + ... + 30818.

It is an arithmetic number, because the mean of its divisors is an integer number (2157260).

Almost surely, 248642968 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 48642968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51774240).

48642968 is an abundant number, since it is smaller than the sum of its proper divisors (54905512).

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

48642968 is a wasteful number, since it uses less digits than its factorization.

48642968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680 (or 1665 counting only the distinct ones).

The product of its digits is 663552, while the sum is 47.

The square root of 48642968 is about 6974.4510895123. The cubic root of 48642968 is about 365.0396354031.

The spelling of 48642968 in words is "forty-eight million, six hundred forty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 22 31 44 62 88 121 124 242 248 341 484 682 968 1364 1621 2728 3242 3751 6484 7502 12968 15004 17831 30008 35662 50251 71324 100502 142648 196141 201004 392282 402008 552761 784564 1105522 1569128 2211044 4422088 6080371 12160742 24321484 48642968