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38142976 = 2101932
BaseRepresentation
bin1001000110000…
…0010000000000
32122202212022211
42101200100000
534231033401
63441311504
7642132004
oct221402000
978685284
1038142976
111a592423
1210935594
137b96511
1450cc704
153536951
hex2460400

38142976 has 33 divisors (see below), whose sum is σ = 76645821. Its totient is φ = 18972672.

The previous prime is 38142971. The next prime is 38142977. The reversal of 38142976 is 67924183.

The square root of 38142976 is 6176.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 9241600 + 28901376 = 3040^2 + 5376^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38142971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 197536 + ... + 197728.

Almost surely, 238142976 is an apocalyptic number.

38142976 is the 6176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38142976

38142976 is an abundant number, since it is smaller than the sum of its proper divisors (38502845).

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

38142976 is an frugal number, since it uses more digits than its factorization.

38142976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 195 counting only the distinct ones).

The product of its digits is 72576, while the sum is 40.

The cubic root of 38142976 is about 336.6186636566.

The spelling of 38142976 in words is "thirty-eight million, one hundred forty-two thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 128 193 256 386 512 772 1024 1544 3088 6176 12352 24704 37249 49408 74498 98816 148996 197632 297992 595984 1191968 2383936 4767872 9535744 19071488 38142976