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3835254690 = 2335192572909
BaseRepresentation
bin1110010010011001…
…0101011110100010
3100220021201010101000
43210212111132202
530323311122230
61432322452430
7164020061361
oct34446253642
910807633330
103835254690
1116989a0683
128b0504116
1349175c097
1428550b7d8
15176a81b60
hexe49957a2

3835254690 has 128 divisors (see below), whose sum is σ = 10811232000. Its totient is φ = 964804608.

The previous prime is 3835254659. The next prime is 3835254697. The reversal of 3835254690 is 964525383.

3835254690 is a `hidden beast` number, since 3 + 83 + 525 + 46 + 9 + 0 = 666.

3835254690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×38352546902 = 29418357074333992200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3835254697) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1316956 + ... + 1319864.

It is an arithmetic number, because the mean of its divisors is an integer number (84462750).

Almost surely, 23835254690 is an apocalyptic number.

3835254690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3835254690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5405616000).

3835254690 is an abundant number, since it is smaller than the sum of its proper divisors (6975977310).

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

3835254690 is a wasteful number, since it uses less digits than its factorization.

3835254690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3201 (or 3195 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 3835254690 is about 61929.4331477368. The cubic root of 3835254690 is about 1565.3017468094.

The spelling of 3835254690 in words is "three billion, eight hundred thirty-five million, two hundred fifty-four thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 171 190 257 270 285 342 513 514 570 771 855 1026 1285 1542 1710 2313 2565 2570 2909 3855 4626 4883 5130 5818 6939 7710 8727 9766 11565 13878 14545 14649 17454 23130 24415 26181 29090 29298 34695 43635 43947 48830 52362 55271 69390 73245 78543 87270 87894 110542 130905 131841 146490 157086 165813 219735 261810 263682 276355 331626 392715 439470 497439 552710 659205 747613 785430 829065 994878 1318410 1492317 1495226 1658130 2242839 2487195 2984634 3738065 4485678 4974390 6728517 7461585 7476130 11214195 13457034 14204647 14923170 20185551 22428390 28409294 33642585 40371102 42613941 67285170 71023235 85227882 100927755 127841823 142046470 201855510 213069705 255683646 383525469 426139410 639209115 767050938 1278418230 1917627345 3835254690