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78142050 = 2335278269
BaseRepresentation
bin1001010100001…
…01101001100010
312110001000202000
410222011221202
5130001021200
611430504430
71636124250
oct452055142
9173030660
1078142050
1140122308
1222205116
131325c7cc
14a5415d0
156cd8300
hex4a85a62

78142050 has 96 divisors (see below), whose sum is σ = 246115200. Its totient is φ = 17858880.

The previous prime is 78142049. The next prime is 78142067. The reversal of 78142050 is 5024187.

It is a super-2 number, since 2×781420502 = 12212359956405000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5316 + ... + 13584.

It is an arithmetic number, because the mean of its divisors is an integer number (2563700).

Almost surely, 278142050 is an apocalyptic number.

78142050 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 78142050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123057600).

78142050 is an abundant number, since it is smaller than the sum of its proper divisors (167973150).

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

78142050 is a wasteful number, since it uses less digits than its factorization.

78142050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8297 (or 8286 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 78142050 is about 8839.7992058644. The cubic root of 78142050 is about 427.5250831697.

The spelling of 78142050 in words is "seventy-eight million, one hundred forty-two thousand, fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 27 30 35 42 45 50 54 63 70 75 90 105 126 135 150 175 189 210 225 270 315 350 378 450 525 630 675 945 1050 1350 1575 1890 3150 4725 8269 9450 16538 24807 41345 49614 57883 74421 82690 115766 124035 148842 173649 206725 223263 248070 289415 347298 372105 413450 446526 520947 578830 620175 744210 868245 1041894 1116315 1240350 1447075 1562841 1736490 1860525 2232630 2604735 2894150 3125682 3721050 4341225 5209470 5581575 7814205 8682450 11163150 13023675 15628410 26047350 39071025 78142050