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38081988 = 2235729193
BaseRepresentation
bin1001000101000…
…1010111000100
32122122202200000
42101101113010
534222110423
63440121300
7641456130
oct221212704
978582600
1038081988
111a55061a
1210906230
137b74829
1450b43c0
153523843
hex24515c4

38081988 has 144 divisors (see below), whose sum is σ = 118634880. Its totient is φ = 10450944.

The previous prime is 38081987. The next prime is 38081999. The reversal of 38081988 is 88918083.

38081988 = T237 + T238 + ... + T622.

It is not an unprimeable number, because it can be changed into a prime (38081987) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197220 + ... + 197412.

Almost surely, 238081988 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 38081988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59317440).

38081988 is an abundant number, since it is smaller than the sum of its proper divisors (80552892).

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

38081988 is a wasteful number, since it uses less digits than its factorization.

38081988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 38081988 is about 6171.0605247396. The cubic root of 38081988 is about 336.4391579057.

The spelling of 38081988 in words is "thirty-eight million, eighty-one thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 29 36 42 54 58 63 81 84 87 108 116 126 162 174 189 193 203 243 252 261 324 348 378 386 406 486 522 567 579 609 756 772 783 812 972 1044 1134 1158 1218 1351 1566 1701 1737 1827 2268 2316 2349 2436 2702 3132 3402 3474 3654 4053 4698 5211 5404 5481 5597 6804 6948 7047 7308 8106 9396 10422 10962 11194 12159 14094 15633 16212 16443 16791 20844 21924 22388 24318 28188 31266 32886 33582 36477 39179 46899 48636 49329 50373 62532 65772 67164 72954 78358 93798 98658 100746 109431 117537 145908 151119 156716 187596 197316 201492 218862 235074 302238 328293 352611 437724 453357 470148 604476 656586 705222 906714 1057833 1313172 1360071 1410444 1813428 2115666 2720142 3173499 4231332 5440284 6346998 9520497 12693996 19040994 38081988