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38461620 = 22352692383
BaseRepresentation
bin1001001010111…
…0000010110100
32200101001102110
42102232002310
534321232440
63452211020
7644630001
oct222560264
980331373
1038461620
111a78a86a
1210a69a70
137c78572
1451728a8
15359b080
hex24ae0b4

38461620 has 48 divisors (see below), whose sum is σ = 108138240. Its totient is φ = 10214016.

The previous prime is 38461609. The next prime is 38461637. The reversal of 38461620 is 2616483.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 14949 + ... + 17331.

It is an arithmetic number, because the mean of its divisors is an integer number (2252880).

Almost surely, 238461620 is an apocalyptic number.

38461620 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38461620 is an abundant number, since it is smaller than the sum of its proper divisors (69676620).

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

38461620 is a wasteful number, since it uses less digits than its factorization.

38461620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2664 (or 2662 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 38461620 is about 6201.7433032979. The cubic root of 38461620 is about 337.5534291270.

The spelling of 38461620 in words is "thirty-eight million, four hundred sixty-one thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 269 538 807 1076 1345 1614 2383 2690 3228 4035 4766 5380 7149 8070 9532 11915 14298 16140 23830 28596 35745 47660 71490 142980 641027 1282054 1923081 2564108 3205135 3846162 6410270 7692324 9615405 12820540 19230810 38461620