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52440056460 = 2232511197233577
BaseRepresentation
bin110000110101101010…
…111100001010001100
312000100122012212211100
4300311222330022030
51324344123301320
640031324223100
73534341060661
oct606552741214
9160318185740
1052440056460
1120270054640
12a1b609aa90
134c39441b0c
142776819a68
15156dbce790
hexc35abc28c

52440056460 has 288 divisors, whose sum is σ = 175461878592. Its totient is φ = 12572098560.

The previous prime is 52440056453. The next prime is 52440056467. The reversal of 52440056460 is 6465004425.

52440056460 is a `hidden beast` number, since 5 + 2 + 4 + 4 + 0 + 0 + 5 + 646 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (52440056453) and next prime (52440056467).

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

It is not an unprimeable number, because it can be changed into a prime (52440056467) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 90883692 + ... + 90884268.

It is an arithmetic number, because the mean of its divisors is an integer number (609242634).

Almost surely, 252440056460 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 52440056460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87730939296).

52440056460 is an abundant number, since it is smaller than the sum of its proper divisors (123021822132).

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

52440056460 is a wasteful number, since it uses less digits than its factorization.

52440056460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 52440056460 in words is "fifty-two billion, four hundred forty million, fifty-six thousand, four hundred sixty".