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245072828 = 227111397631
BaseRepresentation
bin11101001101110…
…00001110111100
3122002010222201102
432212320032330
51000214312303
640152432232
76034041020
oct1646701674
9562128642
10245072828
11116378930
126a0a8678
133ba08b10
1424796380
15167ae288
hexe9b83bc

245072828 has 96 divisors (see below), whose sum is σ = 582693888. Its totient is φ = 87091200.

The previous prime is 245072827. The next prime is 245072837. The reversal of 245072828 is 828270542.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 245072791 and 245072800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245072827) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 388073 + ... + 388703.

It is an arithmetic number, because the mean of its divisors is an integer number (6069728).

Almost surely, 2245072828 is an apocalyptic number.

245072828 is a gapful number since it is divisible by the number (28) 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 245072828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291346944).

245072828 is an abundant number, since it is smaller than the sum of its proper divisors (337621060).

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

245072828 is a wasteful number, since it uses less digits than its factorization.

245072828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 38.

The square root of 245072828 is about 15654.8020747629. The cubic root of 245072828 is about 625.7944695744.

The spelling of 245072828 in words is "two hundred forty-five million, seventy-two thousand, eight hundred twenty-eight".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 97 143 154 182 194 286 308 364 388 572 631 679 1001 1067 1261 1262 1358 2002 2134 2522 2524 2716 4004 4268 4417 5044 6941 7469 8203 8827 8834 13871 13882 14938 16406 17654 17668 27742 27764 29876 32812 35308 48587 55484 57421 61207 90233 97097 97174 114842 122414 180466 194194 194348 229684 244828 360932 388388 428449 631631 673277 795691 856898 1263262 1346554 1591382 1713796 2526524 2693108 3182764 4712939 5569837 8752601 9425878 11139674 17505202 18851756 22279348 35010404 61268207 122536414 245072828