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6029472 = 253181347
BaseRepresentation
bin10111000000000010100000
3102100022212210
4113000002200
53020420342
6333122120
7102151431
oct27000240
912308783
106029472
113449039
122029340
131331547
14b2d488
157e179c
hex5c00a0

6029472 has 48 divisors (see below), whose sum is σ = 15960672. Its totient is φ = 1992960.

The previous prime is 6029467. The next prime is 6029497. The reversal of 6029472 is 2749206.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17203 + ... + 17549.

It is an arithmetic number, because the mean of its divisors is an integer number (332514).

Almost surely, 26029472 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 6029472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7980336).

6029472 is an abundant number, since it is smaller than the sum of its proper divisors (9931200).

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

6029472 is a wasteful number, since it uses less digits than its factorization.

6029472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 6029472 is about 2455.4983200972. The cubic root of 6029472 is about 182.0090966753.

The spelling of 6029472 in words is "six million, twenty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 181 347 362 543 694 724 1041 1086 1388 1448 2082 2172 2776 2896 4164 4344 5552 5792 8328 8688 11104 16656 17376 33312 62807 125614 188421 251228 376842 502456 753684 1004912 1507368 2009824 3014736 6029472