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38145500 = 22532331107
BaseRepresentation
bin1001000110000…
…0110111011100
32122202222210022
42101200313130
534231124000
63441331312
7642142241
oct221406734
978688708
1038145500
111a594308
1210936b38
137b97703
1450cd5c8
153537585
hex2460ddc

38145500 has 96 divisors (see below), whose sum is σ = 90574848. Its totient is φ = 13992000.

The previous prime is 38145479. The next prime is 38145509. The reversal of 38145500 is 554183.

38145500 = T426 + T427 + ... + T673.

It is a self number, because there is not a number n which added to its sum of digits gives 38145500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38145509) 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, 356447 + ... + 356553.

It is an arithmetic number, because the mean of its divisors is an integer number (943488).

Almost surely, 238145500 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 38145500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45287424).

38145500 is an abundant number, since it is smaller than the sum of its proper divisors (52429348).

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

38145500 is a wasteful number, since it uses less digits than its factorization.

38145500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 38145500 is about 6176.2043359980. The cubic root of 38145500 is about 336.6260884117.

Adding to 38145500 its reverse (554183), we get a palindrome (38699683).

The spelling of 38145500 in words is "thirty-eight million, one hundred forty-five thousand, five hundred".

Divisors: 1 2 4 5 10 20 23 25 31 46 50 62 92 100 107 115 124 125 155 214 230 250 310 428 460 500 535 575 620 713 775 1070 1150 1426 1550 2140 2300 2461 2675 2852 2875 3100 3317 3565 3875 4922 5350 5750 6634 7130 7750 9844 10700 11500 12305 13268 13375 14260 15500 16585 17825 24610 26750 33170 35650 49220 53500 61525 66340 71300 76291 82925 89125 123050 152582 165850 178250 246100 305164 307625 331700 356500 381455 414625 615250 762910 829250 1230500 1525820 1658500 1907275 3814550 7629100 9536375 19072750 38145500