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2990415288 = 2337236711551
BaseRepresentation
bin1011001000111110…
…0001110110111000
321201101222211120210
42302033201312320
522111021242123
61212422551120
7134051052630
oct26217416670
97641884523
102990415288
1112a50142a3
126b55984a0
13388709a03
1420522d6c0
151277ede93
hexb23e1db8

2990415288 has 128 divisors (see below), whose sum is σ = 9049374720. Its totient is φ = 804988800.

The previous prime is 2990415283. The next prime is 2990415293. The reversal of 2990415288 is 8825140992.

It is an interprime number because it is at equal distance from previous prime (2990415283) and next prime (2990415293).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2990415283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253113 + ... + 264663.

It is an arithmetic number, because the mean of its divisors is an integer number (70698240).

Almost surely, 22990415288 is an apocalyptic number.

2990415288 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2990415288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4524687360).

2990415288 is an abundant number, since it is smaller than the sum of its proper divisors (6058959432).

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

2990415288 is a wasteful number, since it uses less digits than its factorization.

2990415288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11657 (or 11653 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The square root of 2990415288 is about 54684.6897037919. The cubic root of 2990415288 is about 1440.7119820203.

The spelling of 2990415288 in words is "two billion, nine hundred ninety million, four hundred fifteen thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 67 69 84 92 134 138 161 168 184 201 268 276 322 402 469 483 536 552 644 804 938 966 1288 1407 1541 1608 1876 1932 2814 3082 3752 3864 4623 5628 6164 9246 10787 11256 11551 12328 18492 21574 23102 32361 34653 36984 43148 46204 64722 69306 80857 86296 92408 129444 138612 161714 242571 258888 265673 277224 323428 485142 531346 646856 773917 797019 970284 1062692 1547834 1594038 1859711 1940568 2125384 2321751 3095668 3188076 3719422 4643502 5417419 5579133 6191336 6376152 7438844 9287004 10834838 11158266 14877688 16252257 17800091 18574008 21669676 22316532 32504514 35600182 43339352 44633064 53400273 65009028 71200364 106800546 124600637 130018056 142400728 213601092 249201274 373801911 427202184 498402548 747603822 996805096 1495207644 2990415288