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38453040 = 2432553407
BaseRepresentation
bin1001001010101…
…1111100110000
32200100121122200
42102223330300
534320444130
63452103200
7644562663
oct222537460
980317580
1038453040
111a78437a
1210a64b00
137c746a2
14516d6da
153598760
hex24abf30

38453040 has 60 divisors (see below), whose sum is σ = 129140544. Its totient is φ = 10253952.

The previous prime is 38452991. The next prime is 38453047. The reversal of 38453040 is 4035483.

It is a happy number.

38453040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a junction number, because it is equal to n+sod(n) for n = 38452995 and 38453013.

It is not an unprimeable number, because it can be changed into a prime (38453047) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 25984 + ... + 27423.

Almost surely, 238453040 is an apocalyptic number.

38453040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38453040 is an abundant number, since it is smaller than the sum of its proper divisors (90687504).

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

38453040 is a wasteful number, since it uses less digits than its factorization.

38453040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53426 (or 53417 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 38453040 is about 6201.0515237337. The cubic root of 38453040 is about 337.5283268405.

The spelling of 38453040 in words is "thirty-eight million, four hundred fifty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 53407 106814 160221 213628 267035 320442 427256 480663 534070 640884 801105 854512 961326 1068140 1281768 1602210 1922652 2136280 2403315 2563536 3204420 3845304 4272560 4806630 6408840 7690608 9613260 12817680 19226520 38453040