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4137398928 = 2432138832503
BaseRepresentation
bin1111011010011011…
…1011001010010000
3101200100020122100100
43312212323022100
531433133231203
61522314452400
7204346211355
oct36646731220
911610218310
104137398928
1118334aa063
12975734100
1350c22ab60
142b36bc62c
15193365ea3
hexf69bb290

4137398928 has 120 divisors (see below), whose sum is σ = 12488770112. Its totient is φ = 1271096064.

The previous prime is 4137398927. The next prime is 4137398959. The reversal of 4137398928 is 8298937314.

It is not an unprimeable number, because it can be changed into a prime (4137398921) 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 23 ways as a sum of consecutive naturals, for example, 1651725 + ... + 1654227.

Almost surely, 24137398928 is an apocalyptic number.

4137398928 is a gapful number since it is divisible by the number (48) 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 4137398928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6244385056).

4137398928 is an abundant number, since it is smaller than the sum of its proper divisors (8351371184).

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

4137398928 is a wasteful number, since it uses less digits than its factorization.

4137398928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3413 (or 3404 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 4137398928 is about 64322.6159915780. The cubic root of 4137398928 is about 1605.3724258762.

The spelling of 4137398928 in words is "four billion, one hundred thirty-seven million, three hundred ninety-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 883 936 1766 1872 2503 2649 3532 5006 5298 7064 7509 7947 10012 10596 11479 14128 15018 15894 20024 21192 22527 22958 30036 31788 32539 34437 40048 42384 45054 45916 60072 63576 65078 68874 90108 91832 97617 103311 120144 127152 130156 137748 180216 183664 195234 206622 260312 275496 292851 360432 390468 413244 520624 550992 585702 780936 826488 1171404 1561872 1652976 2210149 2342808 4420298 4685616 6630447 8840596 13260894 17681192 19891341 26521788 28731937 35362384 39782682 53043576 57463874 79565364 86195811 106087152 114927748 159130728 172391622 229855496 258587433 318261456 344783244 459710992 517174866 689566488 1034349732 1379132976 2068699464 4137398928