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38820375 = 3253113137
BaseRepresentation
bin1001010000010…
…1101000010111
32201001021112200
42110011220113
534414223000
63504015543
7650652636
oct224055027
981037480
1038820375
111aa05360
12110015b3
138072949
14522751d
15361c500
hex2505a17

38820375 has 48 divisors (see below), whose sum is σ = 76366368. Its totient is φ = 18816000.

The previous prime is 38820373. The next prime is 38820377. The reversal of 38820375 is 57302883.

38820375 is a `hidden beast` number, since 388 + 203 + 75 = 666.

It is an interprime number because it is at equal distance from previous prime (38820373) and next prime (38820377).

It is not a de Polignac number, because 38820375 - 21 = 38820373 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38820373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10807 + ... + 13943.

It is an arithmetic number, because the mean of its divisors is an integer number (1590966).

Almost surely, 238820375 is an apocalyptic number.

38820375 is a deficient number, since it is larger than the sum of its proper divisors (37545993).

38820375 is a wasteful number, since it uses less digits than its factorization.

38820375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3169 (or 3156 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 38820375 is about 6230.5998908612. The cubic root of 38820375 is about 338.5997050265.

The spelling of 38820375 in words is "thirty-eight million, eight hundred twenty thousand, three hundred seventy-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 125 165 225 275 375 495 825 1125 1375 2475 3137 4125 9411 12375 15685 28233 34507 47055 78425 103521 141165 172535 235275 310563 392125 517605 705825 862675 1176375 1552815 2588025 3529125 4313375 7764075 12940125 38820375