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4009397536 = 252343912409
BaseRepresentation
bin1110111011111010…
…1000110100100000
3101100102101111110001
43232332220310200
531202401210121
61501503145344
7201233213434
oct35676506440
911312344401
104009397536
111778222791
1293a8a5254
134bb861ca1
142a06bc9c4
15186ece991
hexeefa8d20

4009397536 has 48 divisors (see below), whose sum is σ = 8256124800. Its totient is φ = 1913015808.

The previous prime is 4009397533. The next prime is 4009397573. The reversal of 4009397536 is 6357939004.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (4009397533) 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 7 ways as a sum of consecutive naturals, for example, 316900 + ... + 329308.

It is an arithmetic number, because the mean of its divisors is an integer number (172002600).

Almost surely, 24009397536 is an apocalyptic number.

4009397536 is a gapful number since it is divisible by the number (46) 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 4009397536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4128062400).

4009397536 is an abundant number, since it is smaller than the sum of its proper divisors (4246727264).

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

4009397536 is a wasteful number, since it uses less digits than its factorization.

4009397536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12881 (or 12873 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 46.

The square root of 4009397536 is about 63319.8036636249. The cubic root of 4009397536 is about 1588.6432179116.

The spelling of 4009397536 in words is "four billion, nine million, three hundred ninety-seven thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 439 736 878 1756 3512 7024 10097 12409 14048 20194 24818 40388 49636 80776 99272 161552 198544 285407 323104 397088 570814 1141628 2283256 4566512 5447551 9133024 10895102 21790204 43580408 87160816 125293673 174321632 250587346 501174692 1002349384 2004698768 4009397536