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2988462834 = 232761503773
BaseRepresentation
bin1011001000100000…
…0101001011110010
321201021022122022200
42302020011023302
522110021302314
61212313044030
7134025341430
oct26210051362
97637278280
102988462834
1112a3a003a5
126b49b6616
133881a5106
14204c81d50
15127565709
hexb22052f2

2988462834 has 96 divisors (see below), whose sum is σ = 7546017024. Its totient is φ = 837095040.

The previous prime is 2988462811. The next prime is 2988462839. The reversal of 2988462834 is 4382648892.

2988462834 is a `hidden beast` number, since 2 + 9 + 8 + 8 + 4 + 628 + 3 + 4 = 666.

It is a super-2 number, since 2×29884628342 = 17861820220398623112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2988462839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3865672 + ... + 3866444.

It is an arithmetic number, because the mean of its divisors is an integer number (78604344).

Almost surely, 22988462834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2988462834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3773008512).

2988462834 is an abundant number, since it is smaller than the sum of its proper divisors (4557554190).

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

2988462834 is a wasteful number, since it uses less digits than its factorization.

2988462834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1349 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The square root of 2988462834 is about 54666.8348635624. The cubic root of 2988462834 is about 1440.3983649010.

The spelling of 2988462834 in words is "two billion, nine hundred eighty-eight million, four hundred sixty-two thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 61 63 122 126 183 366 427 503 549 773 854 1006 1098 1281 1509 1546 2319 2562 3018 3521 3843 4527 4638 5411 6957 7042 7686 9054 10563 10822 13914 16233 21126 30683 31689 32466 47153 48699 61366 63378 92049 94306 97398 141459 184098 214781 276147 282918 330071 388819 424377 429562 552294 644343 660142 777638 848754 990213 1166457 1288686 1933029 1980426 2332914 2721733 2970639 3499371 3866058 5443466 5941278 6998742 8165199 16330398 23717959 24495597 47435918 48991194 71153877 142307754 166025713 213461631 332051426 426923262 498077139 996154278 1494231417 2988462834