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8127042 = 237311359
BaseRepresentation
bin11111000000001001000010
3120021220012120
4133000021002
54040031132
6450105110
7126036000
oct37001102
916256176
108127042
114650a70
12287b196
1318b7201
141117a70
15aa802c
hex7c0242

8127042 has 64 divisors (see below), whose sum is σ = 20736000. Its totient is φ = 2105040.

The previous prime is 8127029. The next prime is 8127083. The reversal of 8127042 is 2407218.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22459 + ... + 22817.

It is an arithmetic number, because the mean of its divisors is an integer number (324000).

Almost surely, 28127042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8127042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10368000).

8127042 is an abundant number, since it is smaller than the sum of its proper divisors (12608958).

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

8127042 is a wasteful number, since it uses less digits than its factorization.

8127042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 8127042 is about 2850.7967307404. The cubic root of 8127042 is about 201.0531282049.

The spelling of 8127042 in words is "eight million, one hundred twenty-seven thousand, forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 231 294 343 359 462 539 686 718 1029 1077 1078 1617 2058 2154 2513 3234 3773 3949 5026 7539 7546 7898 11319 11847 15078 17591 22638 23694 27643 35182 52773 55286 82929 105546 123137 165858 193501 246274 369411 387002 580503 738822 1161006 1354507 2709014 4063521 8127042