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2041874352 = 243371739719
BaseRepresentation
bin111100110110100…
…1000011110110000
312021022010222001000
41321231020132300
513140204434402
6534340242000
7101412434310
oct17155103660
95238128030
102041874352
11958648471
1248b9a0300
1326704909b
14155279440
15be3d4c1c
hex79b487b0

2041874352 has 160 divisors (see below), whose sum is σ = 7092403200. Its totient is φ = 549061632.

The previous prime is 2041874327. The next prime is 2041874363. The reversal of 2041874352 is 2534781402.

It is a happy number.

2041874352 is a `hidden beast` number, since 204 + 18 + 7 + 435 + 2 = 666.

2041874352 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31549 + ... + 71267.

It is an arithmetic number, because the mean of its divisors is an integer number (44327520).

Almost surely, 22041874352 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 2041874352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3546201600).

2041874352 is an abundant number, since it is smaller than the sum of its proper divisors (5050528848).

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

2041874352 is a wasteful number, since it uses less digits than its factorization.

2041874352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39760 (or 39748 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2041874352 is about 45187.1038239894. The cubic root of 2041874352 is about 1268.6534495125.

The spelling of 2041874352 in words is "two billion, forty-one million, eight hundred seventy-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 34 36 42 48 51 54 56 63 68 72 84 102 108 112 119 126 136 144 153 168 189 204 216 238 252 272 306 336 357 378 408 432 459 476 504 612 714 756 816 918 952 1008 1071 1224 1428 1512 1836 1904 2142 2448 2856 3024 3213 3672 4284 5712 6426 7344 8568 12852 17136 25704 39719 51408 79438 119157 158876 238314 278033 317752 357471 476628 556066 635504 675223 714942 834099 953256 1072413 1112132 1350446 1429884 1668198 1906512 2025669 2144826 2224264 2502297 2700892 2859768 3336396 4051338 4289652 4448528 4726561 5004594 5401784 5719536 6077007 6672792 7506891 8102676 8579304 9453122 10009188 10803568 12154014 13345584 14179683 15013782 16205352 17158608 18231021 18906244 20018376 24308028 28359366 30027564 32410704 36462042 37812488 40036752 42539049 48616056 56718732 60055128 72924084 75624976 85078098 97232112 113437464 120110256 127617147 145848168 170156196 226874928 255234294 291696336 340312392 510468588 680624784 1020937176 2041874352