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3142048 = 25713283
BaseRepresentation
bin1011111111000110100000
312220122002011
423333012200
51301021143
6151202304
735464330
oct13770640
95818064
103142048
111856738
121076394
13860200
145bb0c0
15420e9d
hex2ff1a0

3142048 has 72 divisors (see below), whose sum is σ = 7747488. Its totient is φ = 1228032.

The previous prime is 3142043. The next prime is 3142079. The reversal of 3142048 is 8402413.

It is not an unprimeable number, because it can be changed into a prime (3142043) 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, 37815 + ... + 37897.

It is an arithmetic number, because the mean of its divisors is an integer number (107604).

Almost surely, 23142048 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 3142048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3873744).

3142048 is an abundant number, since it is smaller than the sum of its proper divisors (4605440).

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

3142048 is a wasteful number, since it uses less digits than its factorization.

3142048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 3142048 is about 1772.5822971022. The cubic root of 3142048 is about 146.4662644076.

The spelling of 3142048 in words is "three million, one hundred forty-two thousand, forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 83 91 104 112 166 169 182 208 224 332 338 364 416 581 664 676 728 1079 1162 1183 1328 1352 1456 2158 2324 2366 2656 2704 2912 4316 4648 4732 5408 7553 8632 9296 9464 14027 15106 17264 18592 18928 28054 30212 34528 37856 56108 60424 98189 112216 120848 196378 224432 241696 392756 448864 785512 1571024 3142048