Search a number
-
+
38460048 = 24311233167
BaseRepresentation
bin1001001010110…
…1101010010000
32200100222021020
42102231222100
534321210143
63452155440
7644622264
oct222555220
980328236
1038460048
111a789670
1210a68b80
137c77933
1451720a4
15359a883
hex24ada90

38460048 has 80 divisors (see below), whose sum is σ = 113135616. Its totient is φ = 11144320.

The previous prime is 38460031. The next prime is 38460067. The reversal of 38460048 is 84006483.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 15 ways as a sum of consecutive naturals, for example, 10561 + ... + 13727.

Almost surely, 238460048 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 38460048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56567808).

38460048 is an abundant number, since it is smaller than the sum of its proper divisors (74675568).

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

38460048 is a wasteful number, since it uses less digits than its factorization.

38460048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3212 (or 3206 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 38460048 is about 6201.6165634454. The cubic root of 38460048 is about 337.5488302462.

The spelling of 38460048 in words is "thirty-eight million, four hundred sixty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 132 138 176 184 253 264 276 368 506 528 552 759 1012 1104 1518 2024 3036 3167 4048 6072 6334 9501 12144 12668 19002 25336 34837 38004 50672 69674 72841 76008 104511 139348 145682 152016 209022 218523 278696 291364 418044 437046 557392 582728 801251 836088 874092 1165456 1602502 1672176 1748184 2403753 3205004 3496368 4807506 6410008 9615012 12820016 19230024 38460048