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38228608 = 2711191429
BaseRepresentation
bin1001000111010…
…1001010000000
32122221012210101
42101311022000
534241303413
63443212144
7642636445
oct221651200
978835711
1038228608
111a6407a0
1210977054
137bc64a2
1451119cc
153551edd
hex2475280

38228608 has 64 divisors (see below), whose sum is σ = 87516000. Its totient is φ = 16450560.

The previous prime is 38228587. The next prime is 38228609. The reversal of 38228608 is 80682283.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×382286082 = 2922852939235328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38228609) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26038 + ... + 27466.

Almost surely, 238228608 is an apocalyptic number.

38228608 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38228608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43758000).

38228608 is an abundant number, since it is smaller than the sum of its proper divisors (49287392).

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

38228608 is a wasteful number, since it uses less digits than its factorization.

38228608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 38228608 is about 6182.9287558567. The cubic root of 38228608 is about 336.8703813434.

The spelling of 38228608 in words is "thirty-eight million, two hundred twenty-eight thousand, six hundred eight".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 176 209 304 352 418 608 704 836 1216 1408 1429 1672 2432 2858 3344 5716 6688 11432 13376 15719 22864 26752 27151 31438 45728 54302 62876 91456 108604 125752 182912 217208 251504 298661 434416 503008 597322 868832 1006016 1194644 1737664 2012032 2389288 3475328 4778576 9557152 19114304 38228608