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38040296 = 2374797149
BaseRepresentation
bin1001000100011…
…1001011101000
32122120122110212
42101013023220
534214242141
63435200252
7641223440
oct221071350
978518425
1038040296
111a522268
12108a6088
137b5b868
1450a3120
1535162eb
hex24472e8

38040296 has 64 divisors (see below), whose sum is σ = 84672000. Its totient is φ = 15685632.

The previous prime is 38040293. The next prime is 38040307. The reversal of 38040296 is 69204083.

It is not an unprimeable number, because it can be changed into a prime (38040293) by changing a digit.

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, 255230 + ... + 255378.

It is an arithmetic number, because the mean of its divisors is an integer number (1323000).

Almost surely, 238040296 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 38040296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42336000).

38040296 is an abundant number, since it is smaller than the sum of its proper divisors (46631704).

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

38040296 is a wasteful number, since it uses less digits than its factorization.

38040296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 38040296 is about 6167.6815741411. The cubic root of 38040296 is about 336.3163356822.

The spelling of 38040296 in words is "thirty-eight million, forty thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 28 47 56 94 97 149 188 194 298 329 376 388 596 658 679 776 1043 1192 1316 1358 2086 2632 2716 4172 4559 5432 7003 8344 9118 14006 14453 18236 28012 28906 31913 36472 49021 56024 57812 63826 98042 101171 115624 127652 196084 202342 255304 392168 404684 679291 809368 1358582 2717164 4755037 5434328 9510074 19020148 38040296