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38572740 = 22335611171
BaseRepresentation
bin1001001100100…
…1001011000100
32200120200212000
42103021023010
534333311430
63454425300
7645601653
oct223111304
980520760
1038572740
111a8562a8
1210b02230
137cb700b
1451a119a
1535bde60
hex24c92c4

38572740 has 96 divisors (see below), whose sum is σ = 122075520. Its totient is φ = 10108800.

The previous prime is 38572739. The next prime is 38572747. The reversal of 38572740 is 4727583.

38572740 is a `hidden beast` number, since 385 + 7 + 274 + 0 = 666.

It is a super-2 number, since 2×385727402 = 2975712542215200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 38572695 and 38572704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38572747) 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, 32355 + ... + 33525.

It is an arithmetic number, because the mean of its divisors is an integer number (1271620).

Almost surely, 238572740 is an apocalyptic number.

38572740 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 38572740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61037760).

38572740 is an abundant number, since it is smaller than the sum of its proper divisors (83502780).

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

38572740 is a wasteful number, since it uses less digits than its factorization.

38572740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 38572740 is about 6210.6956132144. The cubic root of 38572740 is about 337.8781933325.

The spelling of 38572740 in words is "thirty-eight million, five hundred seventy-two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 61 90 108 122 135 180 183 244 270 305 366 540 549 610 732 915 1098 1171 1220 1647 1830 2196 2342 2745 3294 3513 3660 4684 5490 5855 6588 7026 8235 10539 10980 11710 14052 16470 17565 21078 23420 31617 32940 35130 42156 52695 63234 70260 71431 105390 126468 142862 158085 210780 214293 285724 316170 357155 428586 632340 642879 714310 857172 1071465 1285758 1428620 1928637 2142930 2571516 3214395 3857274 4285860 6428790 7714548 9643185 12857580 19286370 38572740