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4957223040 = 2732571111177
BaseRepresentation
bin1001001110111100…
…10011100010000000
3110210110220000121100
410213132103202000
540123022114130
62135522254400
7233562462210
oct44736234200
913713800540
104957223040
112114250050
12b641b7400
13610032093
14350528240
151e0306c60
hex127793880

4957223040 has 384 divisors, whose sum is σ = 21343720320. Its totient is φ = 1029980160.

The previous prime is 4957223027. The next prime is 4957223059. The reversal of 4957223040 is 403227594.

4957223040 is a `hidden beast` number, since 49 + 572 + 2 + 3 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4957222986 and 4957223004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 437932 + ... + 449108.

It is an arithmetic number, because the mean of its divisors is an integer number (55582605).

Almost surely, 24957223040 is an apocalyptic number.

4957223040 is a gapful number since it is divisible by the number (40) 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 4957223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10671860160).

4957223040 is an abundant number, since it is smaller than the sum of its proper divisors (16386497280).

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

4957223040 is a wasteful number, since it uses less digits than its factorization.

4957223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11220 (or 11205 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 4957223040 is about 70407.5495951961. The cubic root of 4957223040 is about 1705.0854685500.

The spelling of 4957223040 in words is "four billion, nine hundred fifty-seven million, two hundred twenty-three thousand, forty".