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2939872848 = 2431131434177
BaseRepresentation
bin1010111100111010…
…1110011001010000
321120212220000101120
42233032232121100
522010101412343
61203415402240
7132565335603
oct25716563120
97525800346
102939872848
111279532a90
126a0683380
1337b0c1743
141dc63433a
15123168683
hexaf3ae650

2939872848 has 160 divisors (see below), whose sum is σ = 8753344512. Its totient is φ = 841881600.

The previous prime is 2939872823. The next prime is 2939872853. The reversal of 2939872848 is 8482789392.

It is a super-2 number, since 2×29398728482 = 17285704724815262208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2939872791 and 2939872800.

It is a congruent number.

It is an unprimeable number.

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, 701736 + ... + 705912.

Almost surely, 22939872848 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 2939872848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4376672256).

2939872848 is an abundant number, since it is smaller than the sum of its proper divisors (5813471664).

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

2939872848 is a wasteful number, since it uses less digits than its factorization.

2939872848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4273 (or 4267 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 60.

The square root of 2939872848 is about 54220.5943161821. The cubic root of 2939872848 is about 1432.5490986403.

It can be divided in two parts, 293987 and 2848, that added together give a triangular number (296835 = T770).

The spelling of 2939872848 in words is "two billion, nine hundred thirty-nine million, eight hundred seventy-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 43 44 48 62 66 86 88 93 124 129 132 172 176 186 248 258 264 341 344 372 473 496 516 528 682 688 744 946 1023 1032 1333 1364 1419 1488 1892 2046 2064 2666 2728 2838 3784 3999 4092 4177 5332 5456 5676 7568 7998 8184 8354 10664 11352 12531 14663 15996 16368 16708 21328 22704 25062 29326 31992 33416 43989 45947 50124 58652 63984 66832 87978 91894 100248 117304 129487 137841 175956 179611 183788 200496 234608 258974 275682 351912 359222 367576 388461 517948 538833 551364 703824 718444 735152 776922 1035896 1077666 1102728 1424357 1436888 1553844 1975721 2071792 2155332 2205456 2848714 2873776 3107688 3951442 4273071 4310664 5567941 5697428 5927163 6215376 7902884 8546142 8621328 11135882 11394856 11854326 15805768 16703823 17092284 22271764 22789712 23708652 31611536 33407646 34184568 44543528 47417304 61247351 66815292 68369136 89087056 94834608 122494702 133630584 183742053 244989404 267261168 367484106 489978808 734968212 979957616 1469936424 2939872848