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4044246240 = 253523336161
BaseRepresentation
bin1111000100001110…
…0100110011100000
3101102211221222212210
43301003210303200
531240311334430
61505150122120
7202135345236
oct36103446340
911384858783
104044246240
111795965071
1294a4b0340
134c5b43c18
142a5190956
1518a0b52b0
hexf10e4ce0

4044246240 has 96 divisors (see below), whose sum is σ = 12794404896. Its totient is φ = 1073807360.

The previous prime is 4044246233. The next prime is 4044246247. The reversal of 4044246240 is 426424404.

It is an interprime number because it is at equal distance from previous prime (4044246233) and next prime (4044246247).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4044246198 and 4044246207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4044246247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93760 + ... + 129920.

It is an arithmetic number, because the mean of its divisors is an integer number (133275051).

Almost surely, 24044246240 is an apocalyptic number.

4044246240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4044246240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6397202448).

4044246240 is an abundant number, since it is smaller than the sum of its proper divisors (8750158656).

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

4044246240 is a wasteful number, since it uses less digits than its factorization.

4044246240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36412 (or 36404 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

The square root of 4044246240 is about 63594.3884316848. The cubic root of 4044246240 is about 1593.2326463493.

The spelling of 4044246240 in words is "four billion, forty-four million, two hundred forty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 233 240 466 480 699 932 1165 1398 1864 2330 2796 3495 3728 4660 5592 6990 7456 9320 11184 13980 18640 22368 27960 36161 37280 55920 72322 108483 111840 144644 180805 216966 289288 361610 433932 542415 578576 723220 867864 1084830 1157152 1446440 1735728 2169660 2892880 3471456 4339320 5785760 8425513 8678640 16851026 17357280 25276539 33702052 42127565 50553078 67404104 84255130 101106156 126382695 134808208 168510260 202212312 252765390 269616416 337020520 404424624 505530780 674041040 808849248 1011061560 1348082080 2022123120 4044246240