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38425088 = 291323251
BaseRepresentation
bin1001001010010…
…1001000000000
32200022012022102
42102211020000
534314100323
63451325532
7644415332
oct222451000
980265272
1038425088
111a765379
1210a508a8
137c64a50
145163452
153590328
hex24a5200

38425088 has 80 divisors (see below), whose sum is σ = 86619456. Its totient is φ = 16896000.

The previous prime is 38425081. The next prime is 38425097. The reversal of 38425088 is 88052483.

It is not an unprimeable number, because it can be changed into a prime (38425081) 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, 152963 + ... + 153213.

Almost surely, 238425088 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 38425088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43309728).

38425088 is an abundant number, since it is smaller than the sum of its proper divisors (48194368).

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

38425088 is a wasteful number, since it uses less digits than its factorization.

38425088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 38.

The square root of 38425088 is about 6198.7973027032. The cubic root of 38425088 is about 337.4465224825.

The spelling of 38425088 in words is "thirty-eight million, four hundred twenty-five thousand, eighty-eight".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 128 184 208 251 256 299 368 416 502 512 598 736 832 1004 1196 1472 1664 2008 2392 2944 3263 3328 4016 4784 5773 5888 6526 6656 8032 9568 11546 11776 13052 16064 19136 23092 26104 32128 38272 46184 52208 64256 75049 76544 92368 104416 128512 150098 153088 184736 208832 300196 369472 417664 600392 738944 835328 1200784 1477888 1670656 2401568 2955776 4803136 9606272 19212544 38425088