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38726240 = 255771487
BaseRepresentation
bin1001001110111…
…0101001100000
32200212111102012
42103232221200
534403214430
63502012052
7650111330
oct223565140
980774365
1038726240
111a950663
1210b77028
13803bb47
1452010c0
1535ee695
hex24eea60

38726240 has 96 divisors (see below), whose sum is σ = 106251264. Its totient is φ = 13063680.

The previous prime is 38726239. The next prime is 38726267. The reversal of 38726240 is 4262783.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 38726197 and 38726206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79277 + ... + 79763.

It is an arithmetic number, because the mean of its divisors is an integer number (1106784).

Almost surely, 238726240 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 38726240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53125632).

38726240 is an abundant number, since it is smaller than the sum of its proper divisors (67525024).

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

38726240 is a wasteful number, since it uses less digits than its factorization.

38726240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 38726240 is about 6223.0410572324. The cubic root of 38726240 is about 338.3257948984.

The spelling of 38726240 in words is "thirty-eight million, seven hundred twenty-six thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 71 80 112 140 142 160 224 280 284 355 487 497 560 568 710 974 994 1120 1136 1420 1948 1988 2272 2435 2485 2840 3409 3896 3976 4870 4970 5680 6818 7792 7952 9740 9940 11360 13636 15584 15904 17045 19480 19880 27272 34090 34577 38960 39760 54544 68180 69154 77920 79520 109088 136360 138308 172885 242039 272720 276616 345770 484078 545440 553232 691540 968156 1106464 1210195 1383080 1936312 2420390 2766160 3872624 4840780 5532320 7745248 9681560 19363120 38726240