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38400570 = 232513231427
BaseRepresentation
bin1001001001111…
…1001000111010
32200020221200100
42102133020322
534312304240
63451020230
7644254005
oct222371072
980227610
1038400570
111a748a0a
1210a3a676
137c56840
14515853c
153587e30
hex249f23a

38400570 has 96 divisors (see below), whose sum is σ = 112275072. Its totient is φ = 9035136.

The previous prime is 38400521. The next prime is 38400587. The reversal of 38400570 is 7500483.

38400570 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26197 + ... + 27623.

It is an arithmetic number, because the mean of its divisors is an integer number (1169532).

Almost surely, 238400570 is an apocalyptic number.

38400570 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 38400570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56137536).

38400570 is an abundant number, since it is smaller than the sum of its proper divisors (73874502).

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

38400570 is a wasteful number, since it uses less digits than its factorization.

38400570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 38400570 is about 6196.8193454384. The cubic root of 38400570 is about 337.3747354063.

The spelling of 38400570 in words is "thirty-eight million, four hundred thousand, five hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 23 26 30 39 45 46 65 69 78 90 115 117 130 138 195 207 230 234 299 345 390 414 585 598 690 897 1035 1170 1427 1495 1794 2070 2691 2854 2990 4281 4485 5382 7135 8562 8970 12843 13455 14270 18551 21405 25686 26910 32821 37102 42810 55653 64215 65642 92755 98463 111306 128430 164105 166959 185510 196926 278265 295389 328210 333918 426673 492315 556530 590778 834795 853346 984630 1280019 1476945 1669590 2133365 2560038 2953890 3840057 4266730 6400095 7680114 12800190 19200285 38400570