Search a number
-
+
25983480 = 23351747271
BaseRepresentation
bin110001100011…
…1100111111000
31210220002122010
41203013213320
523122432410
62324525520
7433566405
oct143074770
953802563
1025983480
1113737856
1288508a0
1354c9a53
1436452ac
152433c20
hex18c79f8

25983480 has 128 divisors (see below), whose sum is σ = 84602880. Its totient is φ = 6359040.

The previous prime is 25983467. The next prime is 25983511. The reversal of 25983480 is 8438952.

It is a happy number.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95745 + ... + 96015.

It is an arithmetic number, because the mean of its divisors is an integer number (660960).

Almost surely, 225983480 is an apocalyptic number.

25983480 is a gapful number since it is divisible by the number (20) 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 25983480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42301440).

25983480 is an abundant number, since it is smaller than the sum of its proper divisors (58619400).

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

25983480 is a wasteful number, since it uses less digits than its factorization.

25983480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 25983480 is about 5097.3993369168. The cubic root of 25983480 is about 296.1868493997.

The spelling of 25983480 in words is "twenty-five million, nine hundred eighty-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 47 51 60 68 85 94 102 120 136 141 170 188 204 235 255 271 282 340 376 408 470 510 542 564 680 705 799 813 940 1020 1084 1128 1355 1410 1598 1626 1880 2040 2168 2397 2710 2820 3196 3252 3995 4065 4607 4794 5420 5640 6392 6504 7990 8130 9214 9588 10840 11985 12737 13821 15980 16260 18428 19176 23035 23970 25474 27642 31960 32520 36856 38211 46070 47940 50948 55284 63685 69105 76422 92140 95880 101896 110568 127370 138210 152844 184280 191055 216529 254740 276420 305688 382110 433058 509480 552840 649587 764220 866116 1082645 1299174 1528440 1732232 2165290 2598348 3247935 4330580 5196696 6495870 8661160 12991740 25983480