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38849850 = 232521329229
BaseRepresentation
bin1001010000110…
…0110100111010
32201002202222100
42110030310322
534421143400
63504404230
7651134604
oct224146472
981082870
1038849850
111aa25516
1211016676
1380831a0
145234174
153626100
hex250cd3a

38849850 has 144 divisors (see below), whose sum is σ = 116789400. Its totient is φ = 9192960.

The previous prime is 38849831. The next prime is 38849857. The reversal of 38849850 is 5894883.

It can be written as a sum of positive squares in 12 ways, for example, as 4028049 + 34821801 = 2007^2 + 5901^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 38849796 and 38849805.

It is not an unprimeable number, because it can be changed into a prime (38849857) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 169536 + ... + 169764.

Almost surely, 238849850 is an apocalyptic number.

38849850 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38849850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58394700).

38849850 is an abundant number, since it is smaller than the sum of its proper divisors (77939550).

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

38849850 is a wasteful number, since it uses less digits than its factorization.

38849850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 38849850 is about 6232.9647841136. The cubic root of 38849850 is about 338.6853791215.

The spelling of 38849850 in words is "thirty-eight million, eight hundred forty-nine thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 29 30 39 45 50 58 65 75 78 87 90 117 130 145 150 174 195 225 229 234 261 290 325 377 390 435 450 458 522 585 650 687 725 754 870 975 1131 1145 1170 1305 1374 1450 1885 1950 2061 2175 2262 2290 2610 2925 2977 3393 3435 3770 4122 4350 5655 5725 5850 5954 6525 6641 6786 6870 8931 9425 10305 11310 11450 13050 13282 14885 16965 17175 17862 18850 19923 20610 26793 28275 29770 33205 33930 34350 39846 44655 51525 53586 56550 59769 66410 74425 84825 86333 89310 99615 103050 119538 133965 148850 166025 169650 172666 199230 223275 258999 267930 298845 332050 431665 446550 498075 517998 597690 669825 776997 863330 996150 1294995 1339650 1494225 1553994 2158325 2589990 2988450 3884985 4316650 6474975 7769970 12949950 19424925 38849850