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4275927040 = 211571121729
BaseRepresentation
bin1111111011011101…
…0111100000000000
3102000222220121012011
43332313113200000
532224114131130
61544143542304
7210650531410
oct37667274000
912028817164
104275927040
1118a4716300
129b3bba994
13531b41258
142c7c5c640
151a05cb52a
hexfedd7800

4275927040 has 576 divisors, whose sum is σ = 14116939200. Its totient is φ = 1211105280.

The previous prime is 4275927013. The next prime is 4275927113. The reversal of 4275927040 is 407295724.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4275926984 and 4275927002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 147445746 + ... + 147445774.

It is an arithmetic number, because the mean of its divisors is an integer number (24508575).

Almost surely, 24275927040 is an apocalyptic number.

4275927040 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 4275927040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7058469600).

4275927040 is an abundant number, since it is smaller than the sum of its proper divisors (9841012160).

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

4275927040 is a wasteful number, since it uses less digits than its factorization.

4275927040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The square root of 4275927040 is about 65390.5730208873. The cubic root of 4275927040 is about 1623.0930896963.

The spelling of 4275927040 in words is "four billion, two hundred seventy-five million, nine hundred twenty-seven thousand, forty".