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3835094040 = 23365131519
BaseRepresentation
bin1110010010010110…
…1110010000011000
3100220021101222000000
43210211232100120
530323241002130
61432315213000
7164015522121
oct34445562030
910807358000
103835094040
1116988a0a08
128b0447160
13491703c1b
142854a9048
15176a4e260
hexe496e418

3835094040 has 112 divisors (see below), whose sum is σ = 12937622400. Its totient is φ = 1022683968.

The previous prime is 3835094033. The next prime is 3835094059. The reversal of 3835094040 is 404905383.

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

It is a junction number, because it is equal to n+sod(n) for n = 3835093986 and 3835094004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 36600 + ... + 94919.

Almost surely, 23835094040 is an apocalyptic number.

3835094040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3835094040 is an abundant number, since it is smaller than the sum of its proper divisors (9102528360).

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

3835094040 is a wasteful number, since it uses less digits than its factorization.

3835094040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131548 (or 131529 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3835094040 is about 61928.1360933784. The cubic root of 3835094040 is about 1565.2798908739.

The spelling of 3835094040 in words is "three billion, eight hundred thirty-five million, ninety-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 729 810 972 1080 1215 1458 1620 1944 2430 2916 3240 3645 4860 5832 7290 9720 14580 29160 131519 263038 394557 526076 657595 789114 1052152 1183671 1315190 1578228 1972785 2367342 2630380 3156456 3551013 3945570 4734684 5260760 5918355 7102026 7891140 9469368 10653039 11836710 14204052 15782280 17755065 21306078 23673420 28408104 31959117 35510130 42612156 47346840 53265195 63918234 71020260 85224312 95877351 106530390 127836468 142040520 159795585 191754702 213060780 255672936 319591170 383509404 426121560 479386755 639182340 767018808 958773510 1278364680 1917547020 3835094040