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38262420 = 22325730367
BaseRepresentation
bin1001000111110…
…1011010010100
32122222221011200
42101331122110
534243344140
63444032500
7643140150
oct221753224
978887150
1038262420
111a664139
1210992730
137c089b1
145120060
15355c030
hex247d694

38262420 has 72 divisors (see below), whose sum is σ = 132647424. Its totient is φ = 8745408.

The previous prime is 38262383. The next prime is 38262467. The reversal of 38262420 is 2426283.

38262420 is a `hidden beast` number, since 38 + 2 + 624 + 2 + 0 = 666.

38262420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 13924 + ... + 16443.

Almost surely, 238262420 is an apocalyptic number.

38262420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38262420 is an abundant number, since it is smaller than the sum of its proper divisors (94385004).

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

38262420 is a wasteful number, since it uses less digits than its factorization.

38262420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30389 (or 30384 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 38262420 is about 6185.6624544183. The cubic root of 38262420 is about 336.9696691584.

The spelling of 38262420 in words is "thirty-eight million, two hundred sixty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 30367 60734 91101 121468 151835 182202 212569 273303 303670 364404 425138 455505 546606 607340 637707 850276 911010 1062845 1093212 1275414 1366515 1822020 1913121 2125690 2550828 2733030 3188535 3826242 4251380 5466060 6377070 7652484 9565605 12754140 19131210 38262420