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38530440 = 23325138233
BaseRepresentation
bin1001001011111…
…0110110001000
32200111112211100
42102332312020
534330433230
63453501400
7645334434
oct222766610
980445740
1038530440
111a827543
1210aa1860
137ca09a0
14518d9c4
1535b1660
hex24bed88

38530440 has 96 divisors (see below), whose sum is σ = 134872920. Its totient is φ = 9483264.

The previous prime is 38530421. The next prime is 38530441. The reversal of 38530440 is 4403583.

It is a happy number.

38530440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 17791524 + 20738916 = 4218^2 + 4554^2 .

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (38530441) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 564 + ... + 8796.

Almost surely, 238530440 is an apocalyptic number.

38530440 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 38530440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67436460).

38530440 is an abundant number, since it is smaller than the sum of its proper divisors (96342480).

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

38530440 is a wasteful number, since it uses less digits than its factorization.

38530440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8263 (or 8256 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 38530440 is about 6207.2892634386. The cubic root of 38530440 is about 337.7546391057.

The spelling of 38530440 in words is "thirty-eight million, five hundred thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 8233 16466 24699 32932 41165 49398 65864 74097 82330 98796 107029 123495 148194 164660 197592 214058 246990 296388 321087 329320 370485 428116 493980 535145 592776 642174 740970 856232 963261 987960 1070290 1284348 1481940 1605435 1926522 2140580 2568696 2963880 3210870 3853044 4281160 4816305 6421740 7706088 9632610 12843480 19265220 38530440