Search a number
-
+
25420704 = 2532329397
BaseRepresentation
bin110000011111…
…0001110100000
31202211111122120
41200332032200
523001430304
62304504240
7426033561
oct140761640
952744576
1025420704
1113392a51
12861b080
13536084a
14353a168
1523720d9
hex183e3a0

25420704 has 96 divisors (see below), whose sum is σ = 72213120. Its totient is φ = 7805952.

The previous prime is 25420691. The next prime is 25420721. The reversal of 25420704 is 40702452.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63834 + ... + 64230.

It is an arithmetic number, because the mean of its divisors is an integer number (752220).

Almost surely, 225420704 is an apocalyptic number.

25420704 is a gapful number since it is divisible by the number (24) 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 25420704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36106560).

25420704 is an abundant number, since it is smaller than the sum of its proper divisors (46792416).

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

25420704 is a wasteful number, since it uses less digits than its factorization.

25420704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 25420704 is about 5041.8948818872. The cubic root of 25420704 is about 294.0328530088.

The spelling of 25420704 in words is "twenty-five million, four hundred twenty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 32 46 48 58 69 87 92 96 116 138 174 184 232 276 348 368 397 464 552 667 696 736 794 928 1104 1191 1334 1392 1588 2001 2208 2382 2668 2784 3176 4002 4764 5336 6352 8004 9131 9528 10672 11513 12704 16008 18262 19056 21344 23026 27393 32016 34539 36524 38112 46052 54786 64032 69078 73048 92104 109572 138156 146096 184208 219144 264799 276312 292192 368416 438288 529598 552624 794397 876576 1059196 1105248 1588794 2118392 3177588 4236784 6355176 8473568 12710352 25420704