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6042672 = 2432291447
BaseRepresentation
bin10111000011010000110000
3102100222222200
4113003100300
53021331142
6333303200
7102235056
oct27032060
912328880
106042672
113457a49
122034b00
13133755c
14b341d6
157e564c
hex5c3430

6042672 has 60 divisors (see below), whose sum is σ = 17506320. Its totient is φ = 1943424.

The previous prime is 6042671. The next prime is 6042677. The reversal of 6042672 is 2762406.

It is not an unprimeable number, because it can be changed into a prime (6042671) 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, 3453 + ... + 4899.

It is an arithmetic number, because the mean of its divisors is an integer number (291772).

Almost surely, 26042672 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 6042672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8753160).

6042672 is an abundant number, since it is smaller than the sum of its proper divisors (11463648).

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

6042672 is a wasteful number, since it uses less digits than its factorization.

6042672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 6042672 is about 2458.1846960715. The cubic root of 6042672 is about 182.1418207883.

The spelling of 6042672 in words is "six million, forty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 1447 2088 2894 4176 4341 5788 8682 11576 13023 17364 23152 26046 34728 41963 52092 69456 83926 104184 125889 167852 208368 251778 335704 377667 503556 671408 755334 1007112 1510668 2014224 3021336 6042672