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2990005056 = 26333155817
BaseRepresentation
bin1011001000110111…
…1101101101000000
321201101012222212000
42302031331231000
522110420130211
61212410104000
7134044423623
oct26215755500
97641188760
102990005056
1112a4864065
126b541b000
133885c507c
14205163dba
1512776c656
hexb237db40

2990005056 has 112 divisors (see below), whose sum is σ = 9073774080. Its totient is φ = 964500480.

The previous prime is 2990005019. The next prime is 2990005061. The reversal of 2990005056 is 6505000992.

2990005056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 2990005056.

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, 25660 + ... + 81476.

It is an arithmetic number, because the mean of its divisors is an integer number (81015840).

Almost surely, 22990005056 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 2990005056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4536887040).

2990005056 is an abundant number, since it is smaller than the sum of its proper divisors (6083769024).

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

2990005056 is a wasteful number, since it uses less digits than its factorization.

2990005056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55869 (or 55853 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 2990005056 is about 54680.9386898213. The cubic root of 2990005056 is about 1440.6460989540.

The spelling of 2990005056 in words is "two billion, nine hundred ninety million, five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 144 186 192 216 248 279 288 372 432 496 558 576 744 837 864 992 1116 1488 1674 1728 1984 2232 2976 3348 4464 5952 6696 8928 13392 17856 26784 53568 55817 111634 167451 223268 334902 446536 502353 669804 893072 1004706 1339608 1507059 1730327 1786144 2009412 2679216 3014118 3460654 3572288 4018824 5190981 5358432 6028236 6921308 8037648 10381962 10716864 12056472 13842616 15572943 16075296 20763924 24112944 27685232 31145886 32150592 41527848 46718829 48225888 55370464 62291772 83055696 93437658 96451776 110740928 124583544 166111392 186875316 249167088 332222784 373750632 498334176 747501264 996668352 1495002528 2990005056