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38960040 = 2335746381
BaseRepresentation
bin1001010010011…
…1101110101000
32201022101010110
42110213232220
534433210130
63511014320
7652104060
oct224475650
981271113
1038960040
111aaa0289
121106a3a0
1380c13a2
1452623a0
153648ab0
hex2527ba8

38960040 has 64 divisors (see below), whose sum is σ = 133580160. Its totient is φ = 8904960.

The previous prime is 38960023. The next prime is 38960081. The reversal of 38960040 is 4006983.

38960040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22351 + ... + 24030.

It is an arithmetic number, because the mean of its divisors is an integer number (2087190).

Almost surely, 238960040 is an apocalyptic number.

38960040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38960040 is an abundant number, since it is smaller than the sum of its proper divisors (94620120).

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

38960040 is a wasteful number, since it uses less digits than its factorization.

38960040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46402 (or 46398 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 38960040 is about 6241.7978179368. The cubic root of 38960040 is about 339.0052818070.

The spelling of 38960040 in words is "thirty-eight million, nine hundred sixty thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 46381 92762 139143 185524 231905 278286 324667 371048 463810 556572 649334 695715 927620 974001 1113144 1298668 1391430 1623335 1855240 1948002 2597336 2782860 3246670 3896004 4870005 5565720 6493340 7792008 9740010 12986680 19480020 38960040