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38233920 = 263539827
BaseRepresentation
bin1001000111011…
…0011101000000
32122221111002010
42101312131000
534241441140
63443252520
7642661104
oct221663500
978844063
1038233920
111a64478a
121097a140
137bc8a2a
145113904
153553880
hex2476740

38233920 has 56 divisors (see below), whose sum is σ = 121395744. Its totient is φ = 10195456.

The previous prime is 38233903. The next prime is 38233933. The reversal of 38233920 is 2933283.

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 7 ways as a sum of consecutive naturals, for example, 18954 + ... + 20873.

Almost surely, 238233920 is an apocalyptic number.

38233920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38233920 is an abundant number, since it is smaller than the sum of its proper divisors (83161824).

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

38233920 is a wasteful number, since it uses less digits than its factorization.

38233920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39847 (or 39837 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 38233920 is about 6183.3583108211. The cubic root of 38233920 is about 336.8859837302.

The spelling of 38233920 in words is "thirty-eight million, two hundred thirty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 39827 79654 119481 159308 199135 238962 318616 398270 477924 597405 637232 796540 955848 1194810 1274464 1593080 1911696 2389620 2548928 3186160 3823392 4779240 6372320 7646784 9558480 12744640 19116960 38233920