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38551140 = 2234553449
BaseRepresentation
bin1001001100001…
…1111001100100
32200112121020000
42103003321210
534332114030
63454141300
7645451665
oct223037144
980477200
1038551140
111a841051
1210ab1830
137caa234
14519736c
1535b7860
hex24c3e64

38551140 has 120 divisors (see below), whose sum is σ = 123492600. Its totient is φ = 10063872.

The previous prime is 38551129. The next prime is 38551141. The reversal of 38551140 is 4115583.

It can be written as a sum of positive squares in 4 ways, for example, as 8608356 + 29942784 = 2934^2 + 5472^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38551141) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 85636 + ... + 86084.

It is an arithmetic number, because the mean of its divisors is an integer number (1029105).

Almost surely, 238551140 is an apocalyptic number.

38551140 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 38551140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61746300).

38551140 is an abundant number, since it is smaller than the sum of its proper divisors (84941460).

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

38551140 is a wasteful number, since it uses less digits than its factorization.

38551140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 38551140 is about 6208.9564340556. The cubic root of 38551140 is about 337.8151131047.

The spelling of 38551140 in words is "thirty-eight million, five hundred fifty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 53 54 60 81 90 106 108 135 159 162 180 212 265 270 318 324 405 449 477 530 540 636 795 810 898 954 1060 1347 1431 1590 1620 1796 1908 2245 2385 2694 2862 3180 4041 4293 4490 4770 5388 5724 6735 7155 8082 8586 8980 9540 12123 13470 14310 16164 17172 20205 21465 23797 24246 26940 28620 36369 40410 42930 47594 48492 60615 71391 72738 80820 85860 95188 118985 121230 142782 145476 181845 214173 237970 242460 285564 356955 363690 428346 475940 642519 713910 727380 856692 1070865 1285038 1427820 1927557 2141730 2570076 3212595 3855114 4283460 6425190 7710228 9637785 12850380 19275570 38551140