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38106750 = 23531131149
BaseRepresentation
bin1001000101011…
…1011001111110
32122201000122010
42101113121332
534223404000
63440432050
7641621253
oct221273176
978630563
1038106750
111a568190
1210918626
137b82b96
1450bd42a
15352ad50
hex245767e

38106750 has 128 divisors (see below), whose sum is σ = 107827200. Its totient is φ = 8880000.

The previous prime is 38106737. The next prime is 38106751. The reversal of 38106750 is 5760183.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38106751) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 255676 + ... + 255824.

It is an arithmetic number, because the mean of its divisors is an integer number (842400).

Almost surely, 238106750 is an apocalyptic number.

38106750 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

38106750 is the 3300-th nonagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38106750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53913600).

38106750 is an abundant number, since it is smaller than the sum of its proper divisors (69720450).

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

38106750 is a wasteful number, since it uses less digits than its factorization.

38106750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 38106750 is about 6173.0664989128. The cubic root of 38106750 is about 336.5120629005.

The spelling of 38106750 in words is "thirty-eight million, one hundred six thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 31 33 50 55 62 66 75 93 110 125 149 150 155 165 186 250 275 298 310 330 341 375 447 465 550 682 745 750 775 825 894 930 1023 1375 1490 1550 1639 1650 1705 2046 2235 2325 2750 3278 3410 3725 3875 4125 4470 4619 4650 4917 5115 7450 7750 8195 8250 8525 9238 9834 10230 11175 11625 13857 16390 17050 18625 22350 23095 23250 24585 25575 27714 37250 40975 42625 46190 49170 50809 51150 55875 69285 81950 85250 101618 111750 115475 122925 127875 138570 152427 204875 230950 245850 254045 255750 304854 346425 409750 508090 577375 614625 692850 762135 1154750 1229250 1270225 1524270 1732125 2540450 3464250 3810675 6351125 7621350 12702250 19053375 38106750