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3885093240 = 2335737125003
BaseRepresentation
bin1110011110010001…
…1101000101111000
3101000202111012000020
43213210131011320
530424040440430
61441303010440
7165163514310
oct34744350570
911022435006
103885093240
111714041066
12905139a20
1349bb8bb52
1428bda2440
1517b128b10
hexe791d178

3885093240 has 128 divisors (see below), whose sum is σ = 13680437760. Its totient is φ = 864013824.

The previous prime is 3885093227. The next prime is 3885093241. The reversal of 3885093240 is 423905883.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3885093192 and 3885093201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3885093241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31422 + ... + 93581.

It is an arithmetic number, because the mean of its divisors is an integer number (106878420).

Almost surely, 23885093240 is an apocalyptic number.

3885093240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3885093240 is an abundant number, since it is smaller than the sum of its proper divisors (9795344520).

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

3885093240 is a wasteful number, since it uses less digits than its factorization.

3885093240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125061 (or 125057 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 3885093240 is about 62330.5161217200. The cubic root of 3885093240 is about 1572.0528732807.

The spelling of 3885093240 in words is "three billion, eight hundred eighty-five million, ninety-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 37 40 42 56 60 70 74 84 105 111 120 140 148 168 185 210 222 259 280 296 370 420 444 518 555 740 777 840 888 1036 1110 1295 1480 1554 2072 2220 2590 3108 3885 4440 5180 6216 7770 10360 15540 31080 125003 250006 375009 500012 625015 750018 875021 1000024 1250030 1500036 1750042 1875045 2500060 2625063 3000072 3500084 3750090 4375105 4625111 5000120 5250126 7000168 7500180 8750210 9250222 10500252 13125315 13875333 15000360 17500420 18500444 21000504 23125555 26250630 27750666 32375777 35000840 37000888 46251110 52501260 55501332 64751554 69376665 92502220 97127331 105002520 111002664 129503108 138753330 161878885 185004440 194254662 259006216 277506660 323757770 388509324 485636655 555013320 647515540 777018648 971273310 1295031080 1942546620 3885093240