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8058072 = 23311131233
BaseRepresentation
bin11110101111010011011000
3120011101121010
4132233103120
54030324242
6444413520
7125330631
oct36572330
916141533
108058072
114604170
1228472a0
1318919b9
1410da888
15a9289c
hex7af4d8

8058072 has 64 divisors (see below), whose sum is σ = 22239360. Its totient is φ = 2412800.

The previous prime is 8058059. The next prime is 8058091. The reversal of 8058072 is 2708508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34468 + ... + 34700.

It is an arithmetic number, because the mean of its divisors is an integer number (347490).

Almost surely, 28058072 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 8058072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11119680).

8058072 is an abundant number, since it is smaller than the sum of its proper divisors (14181288).

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

8058072 is a wasteful number, since it uses less digits than its factorization.

8058072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 8058072 is about 2838.6743384897. The cubic root of 8058072 is about 200.4827670755.

The spelling of 8058072 in words is "eight million, fifty-eight thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 131 132 233 262 264 393 466 524 699 786 932 1048 1398 1441 1572 1864 2563 2796 2882 3144 4323 5126 5592 5764 7689 8646 10252 11528 15378 17292 20504 30523 30756 34584 61046 61512 91569 122092 183138 244184 335753 366276 671506 732552 1007259 1343012 2014518 2686024 4029036 8058072