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245620032 = 26371271439
BaseRepresentation
bin11101010001111…
…01110101000000
3122010011210100020
432220331311000
51000334320112
640212253440
76041510250
oct1650756500
9563153306
10245620032
11116711a69
126a311280
133bb6abc8
1424899960
151686b48c
hexea3dd40

245620032 has 112 divisors (see below), whose sum is σ = 749076480. Its totient is φ = 69576192.

The previous prime is 245620031. The next prime is 245620033. The reversal of 245620032 is 230026542.

245620032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (245620031) and next prime (245620033).

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a junction number, because it is equal to n+sod(n) for n = 245619984 and 245620011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245620031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169969 + ... + 171407.

Almost surely, 2245620032 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 245620032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374538240).

245620032 is an abundant number, since it is smaller than the sum of its proper divisors (503456448).

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

245620032 is a wasteful number, since it uses less digits than its factorization.

245620032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 245620032 is about 15672.2695229504. The cubic root of 245620032 is about 626.2598859002.

Adding to 245620032 its reverse (230026542), we get a palindrome (475646574).

The spelling of 245620032 in words is "two hundred forty-five million, six hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 127 168 192 224 254 336 381 448 508 672 762 889 1016 1344 1439 1524 1778 2032 2667 2878 3048 3556 4064 4317 5334 5756 6096 7112 8128 8634 10073 10668 11512 12192 14224 17268 20146 21336 23024 24384 28448 30219 34536 40292 42672 46048 56896 60438 69072 80584 85344 92096 120876 138144 161168 170688 182753 241752 276288 322336 365506 483504 548259 644672 731012 967008 1096518 1279271 1462024 1934016 2193036 2558542 2924048 3837813 4386072 5117084 5848096 7675626 8772144 10234168 11696192 15351252 17544288 20468336 30702504 35088576 40936672 61405008 81873344 122810016 245620032