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4146944 = 2897167
BaseRepresentation
bin1111110100011100000000
321210200112112
433310130000
52030200234
6224514452
750151134
oct17643400
97720475
104146944
11238272a
12147ba28
13b22719
1479d3c4
1556dace
hex3f4700

4146944 has 36 divisors (see below), whose sum is σ = 8413104. Its totient is φ = 2039808.

The previous prime is 4146943. The next prime is 4146949. The reversal of 4146944 is 4496414.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 4146944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4146943) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24749 + ... + 24915.

Almost surely, 24146944 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 4146944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4206552).

4146944 is an abundant number, since it is smaller than the sum of its proper divisors (4266160).

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

4146944 is an equidigital number, since it uses as much as digits as its factorization.

4146944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 266 counting only the distinct ones).

The product of its digits is 13824, while the sum is 32.

The square root of 4146944 is about 2036.4046749112. The cubic root of 4146944 is about 160.6606021100.

The spelling of 4146944 in words is "four million, one hundred forty-six thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 32 64 97 128 167 194 256 334 388 668 776 1336 1552 2672 3104 5344 6208 10688 12416 16199 21376 24832 32398 42752 64796 129592 259184 518368 1036736 2073472 4146944