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38018080 = 2552310331
BaseRepresentation
bin1001000100000…
…1110000100000
32122112112000001
42101001300200
534213034310
63434505344
7641101612
oct221016040
978475001
1038018080
111a507601
1210895254
137b51709
145098db2
15350e93a
hex2441c20

38018080 has 48 divisors (see below), whose sum is σ = 93731904. Its totient is φ = 14544640.

The previous prime is 38018053. The next prime is 38018081. The reversal of 38018080 is 8081083.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (38018081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1486 + ... + 8845.

It is an arithmetic number, because the mean of its divisors is an integer number (1952748).

Almost surely, 238018080 is an apocalyptic number.

It is an amenable number.

38018080 is an abundant number, since it is smaller than the sum of its proper divisors (55713824).

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

38018080 is a wasteful number, since it uses less digits than its factorization.

38018080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10369 (or 10361 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 38018080 is about 6165.8803102234. The cubic root of 38018080 is about 336.2508519761.

It can be divided in two parts, 3801 and 8080, that added together give a square (11881 = 1092).

The spelling of 38018080 in words is "thirty-eight million, eighteen thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 736 920 1840 3680 10331 20662 41324 51655 82648 103310 165296 206620 237613 330592 413240 475226 826480 950452 1188065 1652960 1900904 2376130 3801808 4752260 7603616 9504520 19009040 38018080