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2082375048 = 233138397829
BaseRepresentation
bin111110000011110…
…1000010110001000
312101010100121112210
41330013220112020
513231042000143
6542344305120
7102413616165
oct17407502610
95333317483
102082375048
119794a0216
124a14721a0
132725597b0
1415a7bd06c
15c2c35033
hex7c1e8588

2082375048 has 128 divisors (see below), whose sum is σ = 5739350400. Its totient is φ = 625729536.

The previous prime is 2082375037. The next prime is 2082375049. The reversal of 2082375048 is 8405732802.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 2082374997 and 2082375015.

It is not an unprimeable number, because it can be changed into a prime (2082375049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2511498 + ... + 2512326.

It is an arithmetic number, because the mean of its divisors is an integer number (44838675).

Almost surely, 22082375048 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 2082375048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2869675200).

2082375048 is an abundant number, since it is smaller than the sum of its proper divisors (3656975352).

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

2082375048 is a wasteful number, since it uses less digits than its factorization.

2082375048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 2082375048 is about 45633.0477614634. The cubic root of 2082375048 is about 1276.9865324660.

The spelling of 2082375048 in words is "two billion, eighty-two million, three hundred seventy-five thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 83 97 104 156 166 194 249 291 312 332 388 498 582 664 776 829 996 1079 1164 1261 1658 1992 2158 2328 2487 2522 3237 3316 3783 4316 4974 5044 6474 6632 7566 8051 8632 9948 10088 10777 12948 15132 16102 19896 21554 24153 25896 30264 32204 32331 43108 48306 64408 64662 68807 80413 86216 96612 104663 129324 137614 160826 193224 206421 209326 241239 258648 275228 313989 321652 412842 418652 482478 550456 627978 643304 825684 837304 894491 964956 1045369 1255956 1651368 1788982 1929912 2090738 2511912 2683473 3136107 3577964 4181476 5366946 6272214 6674279 7155928 8362952 10733892 12544428 13348558 20022837 21467784 25088856 26697116 40045674 53394232 80091348 86765627 160182696 173531254 260296881 347062508 520593762 694125016 1041187524 2082375048