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38076048 = 2433531663
BaseRepresentation
bin1001000100111…
…1111010010000
32122122110112000
42101033322100
534221413143
63440034000
7641432613
oct221177220
978573460
1038076048
111a54710a
1210902900
137b71c0a
1450b217a
153521bd3
hex244fe90

38076048 has 80 divisors (see below), whose sum is σ = 111421440. Its totient is φ = 12445056.

The previous prime is 38076047. The next prime is 38076053. The reversal of 38076048 is 84067083.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (38076047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22065 + ... + 23727.

It is an arithmetic number, because the mean of its divisors is an integer number (1392768).

Almost surely, 238076048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38076048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55710720).

38076048 is an abundant number, since it is smaller than the sum of its proper divisors (73345392).

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

38076048 is a wasteful number, since it uses less digits than its factorization.

38076048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1733 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 38076048 is about 6170.5792272687. The cubic root of 38076048 is about 336.4216644867.

The spelling of 38076048 in words is "thirty-eight million, seventy-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 106 108 144 159 212 216 318 424 432 477 636 848 954 1272 1431 1663 1908 2544 2862 3326 3816 4989 5724 6652 7632 9978 11448 13304 14967 19956 22896 26608 29934 39912 44901 59868 79824 88139 89802 119736 176278 179604 239472 264417 352556 359208 528834 705112 718416 793251 1057668 1410224 1586502 2115336 2379753 3173004 4230672 4759506 6346008 9519012 12692016 19038024 38076048