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4033499040 = 253252801041
BaseRepresentation
bin1111000001101010…
…0100111110100000
3101102002201222111100
43300122210332200
531230033432130
61504123514400
7201645114264
oct36032447640
911362658440
104033499040
11178a89458a
12946988a00
134c385022c
142a39940a4
15189190c60
hexf06a4fa0

4033499040 has 72 divisors (see below), whose sum is σ = 13764320388. Its totient is φ = 1075599360.

The previous prime is 4033499021. The next prime is 4033499047. The reversal of 4033499040 is 409943304.

It can be written as a sum of positive squares in 2 ways, for example, as 3644778384 + 388720656 = 60372^2 + 19716^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×40334990402 = 32538229011361843200, which contains 22 as substring.

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 = 4033498986 and 4033499004.

It is not an unprimeable number, because it can be changed into a prime (4033499047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1399081 + ... + 1401960.

Almost surely, 24033499040 is an apocalyptic number.

4033499040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4033499040 is an abundant number, since it is smaller than the sum of its proper divisors (9730821348).

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

4033499040 is a wasteful number, since it uses less digits than its factorization.

4033499040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2801062 (or 2801051 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 4033499040 is about 63509.8341991223. The cubic root of 4033499040 is about 1591.8201062692.

The spelling of 4033499040 in words is "four billion, thirty-three million, four hundred ninety-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 2801041 5602082 8403123 11204164 14005205 16806246 22408328 25209369 28010410 33612492 42015615 44816656 50418738 56020820 67224984 84031230 89633312 100837476 112041640 126046845 134449968 168062460 201674952 224083280 252093690 268899936 336124920 403349904 448166560 504187380 672249840 806699808 1008374760 1344499680 2016749520 4033499040