Search a number
-
+
7954056 = 233211383
BaseRepresentation
bin11110010101111010001000
3112222002220200
4132111322020
54014012211
6442252200
7124415445
oct36257210
915862820
107954056
114543000
1227b7060
131856556
1410b09cc
15a71b56
hex795e88

7954056 has 96 divisors (see below), whose sum is σ = 23980320. Its totient is φ = 2381280.

The previous prime is 7954049. The next prime is 7954069. The reversal of 7954056 is 6504597.

7954056 = 1942 + 1952 + ... + 3142.

It is a super-2 number, since 2×79540562 = 126534013702272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 7954056.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95791 + ... + 95873.

It is an arithmetic number, because the mean of its divisors is an integer number (249795).

Almost surely, 27954056 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 7954056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11990160).

7954056 is an abundant number, since it is smaller than the sum of its proper divisors (16026264).

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

7954056 is a wasteful number, since it uses less digits than its factorization.

7954056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 7954056 is about 2820.2936017372. The cubic root of 7954056 is about 199.6163980515.

It can be divided in two parts, 795 and 4056, that added together give a triangular number (4851 = T98).

The spelling of 7954056 in words is "seven million, nine hundred fifty-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 83 88 99 121 132 166 198 242 249 264 332 363 396 484 498 664 726 747 792 913 968 996 1089 1331 1452 1494 1826 1992 2178 2662 2739 2904 2988 3652 3993 4356 5324 5478 5976 7304 7986 8217 8712 10043 10648 10956 11979 15972 16434 20086 21912 23958 30129 31944 32868 40172 47916 60258 65736 80344 90387 95832 110473 120516 180774 220946 241032 331419 361548 441892 662838 723096 883784 994257 1325676 1988514 2651352 3977028 7954056