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20265552 = 243419823
BaseRepresentation
bin100110101001…
…1101001010000
31102010121010000
41031103221100
520141444202
62002210000
7334153146
oct115235120
942117100
1020265552
111049189a
126953900
134277268
142997596
151ba491c
hex1353a50

20265552 has 100 divisors (see below), whose sum is σ = 61816480. Its totient is φ = 6391872.

The previous prime is 20265551. The next prime is 20265589. The reversal of 20265552 is 25556202.

20265552 is a `hidden beast` number, since 2 + 0 + 2 + 655 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20265551) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 24213 + ... + 25035.

Almost surely, 220265552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20265552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30908240).

20265552 is an abundant number, since it is smaller than the sum of its proper divisors (41550928).

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

20265552 is a wasteful number, since it uses less digits than its factorization.

20265552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 20265552 is about 4501.7276683513. The cubic root of 20265552 is about 272.6378485002.

The spelling of 20265552 in words is "twenty million, two hundred sixty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 81 108 114 144 152 162 171 216 228 304 324 342 432 456 513 648 684 823 912 1026 1296 1368 1539 1646 2052 2469 2736 3078 3292 4104 4938 6156 6584 7407 8208 9876 12312 13168 14814 15637 19752 22221 24624 29628 31274 39504 44442 46911 59256 62548 66663 88884 93822 118512 125096 133326 140733 177768 187644 250192 266652 281466 355536 375288 422199 533304 562932 750576 844398 1066608 1125864 1266597 1688796 2251728 2533194 3377592 5066388 6755184 10132776 20265552