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25020072 = 23327114513
BaseRepresentation
bin101111101110…
…0011010101000
31202002011002100
41133130122220
522401120242
62252133400
7422444550
oct137343250
952064070
1025020072
1113139a50
128467260
13525039c
143474160
1522e354c
hex17dc6a8

25020072 has 96 divisors (see below), whose sum is σ = 84502080. Its totient is φ = 6497280.

The previous prime is 25020059. The next prime is 25020097. The reversal of 25020072 is 27002052.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3288 + ... + 7800.

It is an arithmetic number, because the mean of its divisors is an integer number (880230).

Almost surely, 225020072 is an apocalyptic number.

25020072 is a gapful number since it is divisible by the number (22) 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 25020072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42251040).

25020072 is an abundant number, since it is smaller than the sum of its proper divisors (59482008).

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

25020072 is a wasteful number, since it uses less digits than its factorization.

25020072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4543 (or 4536 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 25020072 is about 5002.0067972765. The cubic root of 25020072 is about 292.4800073997.

The spelling of 25020072 in words is "twenty-five million, twenty thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 126 132 154 168 198 231 252 264 308 396 462 504 616 693 792 924 1386 1848 2772 4513 5544 9026 13539 18052 27078 31591 36104 40617 49643 54156 63182 81234 94773 99286 108312 126364 148929 162468 189546 198572 252728 284319 297858 324936 347501 379092 397144 446787 568638 595716 695002 758184 893574 1042503 1137276 1191432 1390004 1787148 2085006 2274552 2780008 3127509 3574296 4170012 6255018 8340024 12510036 25020072