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4945968 = 24331072
BaseRepresentation
bin10010110111100000110000
3100022021121000
4102313200300
52231232333
6254002000
760016506
oct22674060
910267530
104945968
112878a85
1217a6300
131042311
1492a676
1567a713
hex4b7830

4945968 has 60 divisors (see below), whose sum is σ = 14330680. Its totient is φ = 1633248.

The previous prime is 4945961. The next prime is 4945973. The reversal of 4945968 is 8695494.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-3 number, since 3×49459683 (a number of 21 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4945961) 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, 46171 + ... + 46277.

Almost surely, 24945968 is an apocalyptic number.

4945968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4945968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7165340).

4945968 is an abundant number, since it is smaller than the sum of its proper divisors (9384712).

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

4945968 is a wasteful number, since it uses less digits than its factorization.

4945968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 112 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 4945968 is about 2223.9532369184. The cubic root of 4945968 is about 170.3794063587.

The spelling of 4945968 in words is "four million, nine hundred forty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 107 108 144 214 216 321 428 432 642 856 963 1284 1712 1926 2568 2889 3852 5136 5778 7704 11449 11556 15408 22898 23112 34347 45796 46224 68694 91592 103041 137388 183184 206082 274776 309123 412164 549552 618246 824328 1236492 1648656 2472984 4945968