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38853240 = 23354153149
BaseRepresentation
bin1001010000110…
…1101001111000
32201002221121220
42110031221320
534421300430
63504432040
7651150516
oct224155170
981087556
1038853240
111aa28018
1211018620
1380848aa
1452354b6
153627110
hex250da78

38853240 has 128 divisors (see below), whose sum is σ = 122472000. Its totient is φ = 9850880.

The previous prime is 38853181. The next prime is 38853247. The reversal of 38853240 is 4235883.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38853247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 260686 + ... + 260834.

Almost surely, 238853240 is an apocalyptic number.

38853240 is a gapful number since it is divisible by the number (30) 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 38853240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61236000).

38853240 is an abundant number, since it is smaller than the sum of its proper divisors (83618760).

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

38853240 is a wasteful number, since it uses less digits than its factorization.

38853240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 38853240 is about 6233.2367193939. The cubic root of 38853240 is about 338.6952299536.

It can be divided in two parts, 38853 and 240, that added together give a palindrome (39093).

The spelling of 38853240 in words is "thirty-eight million, eight hundred fifty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 53 60 82 106 120 123 149 159 164 205 212 246 265 298 318 328 410 424 447 492 530 596 615 636 745 795 820 894 984 1060 1192 1230 1272 1490 1590 1640 1788 2120 2173 2235 2460 2980 3180 3576 4346 4470 4920 5960 6109 6360 6519 7897 8692 8940 10865 12218 13038 15794 17384 17880 18327 21730 23691 24436 26076 30545 31588 32595 36654 39485 43460 47382 48872 52152 61090 63176 65190 73308 78970 86920 91635 94764 118455 122180 130380 146616 157940 183270 189528 236910 244360 260760 315880 323777 366540 473820 647554 733080 947640 971331 1295108 1618885 1942662 2590216 3237770 3885324 4856655 6475540 7770648 9713310 12951080 19426620 38853240