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2556312248 = 23773631991
BaseRepresentation
bin1001100001011110…
…0011101010111000
320121011011010011102
42120113203222320
520213403442443
61101354350532
7120230203250
oct23027435270
96534133142
102556312248
1110a1a76256
125b412b448
133197b79c9
141a370c960
15ee650cb8
hex985e3ab8

2556312248 has 64 divisors (see below), whose sum is σ = 5567262720. Its totient is φ = 1077753600.

The previous prime is 2556312247. The next prime is 2556312251. The reversal of 2556312248 is 8422136552.

It is a happy number.

2556312248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2556312247) 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, 2579033 + ... + 2580023.

It is an arithmetic number, because the mean of its divisors is an integer number (86988480).

Almost surely, 22556312248 is an apocalyptic number.

2556312248 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 2556312248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2783631360).

2556312248 is an abundant number, since it is smaller than the sum of its proper divisors (3010950472).

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

2556312248 is a wasteful number, since it uses less digits than its factorization.

2556312248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1708 (or 1704 counting only the distinct ones).

The product of its digits is 115200, while the sum is 38.

The square root of 2556312248 is about 50559.9866297451. The cubic root of 2556312248 is about 1367.3235700896.

The spelling of 2556312248 in words is "two billion, five hundred fifty-six million, three hundred twelve thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 28 56 73 146 292 511 584 631 991 1022 1262 1982 2044 2524 3964 4088 4417 5048 6937 7928 8834 13874 17668 27748 35336 46063 55496 72343 92126 144686 184252 289372 322441 368504 506401 578744 625321 644882 1012802 1250642 1289764 2025604 2501284 2579528 4051208 4377247 5002568 8754494 17508988 35017976 45648433 91296866 182593732 319539031 365187464 639078062 1278156124 2556312248