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10042944 = 263192753
BaseRepresentation
bin100110010011…
…111001000000
3200220020022220
4212103321000
510032333234
6555131040
7151235502
oct46237100
920806286
1010042944
11573a45a
123443a80
132108292
141495d72
15d35a49
hex993e40

10042944 has 56 divisors (see below), whose sum is σ = 27980640. Its totient is φ = 3170304.

The previous prime is 10042943. The next prime is 10042957. The reversal of 10042944 is 44924001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10042943) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2272 + ... + 5024.

Almost surely, 210042944 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 10042944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13990320).

10042944 is an abundant number, since it is smaller than the sum of its proper divisors (17937696).

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

10042944 is a wasteful number, since it uses less digits than its factorization.

10042944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2787 (or 2777 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 10042944 is about 3169.0604285813. The cubic root of 10042944 is about 215.7514287333.

Adding to 10042944 its reverse (44924001), we get a palindrome (54966945).

The spelling of 10042944 in words is "ten million, forty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1824 2753 3648 5506 8259 11012 16518 22024 33036 44048 52307 66072 88096 104614 132144 156921 176192 209228 264288 313842 418456 528576 627684 836912 1255368 1673824 2510736 3347648 5021472 10042944