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4297542480 = 24375711229
BaseRepresentation
bin1000000000010011…
…10100101101010000
3102002111120210000000
410000021310231100
532300132324410
61550235130000
7211332336240
oct40011645520
912074523000
104297542480
11190593a300
129bb2a3900
1353646ba5a
142caa87b20
151a244adc0
hex100274b50

4297542480 has 960 divisors, whose sum is σ = 19473753600. Its totient is φ = 862202880.

The previous prime is 4297542467. The next prime is 4297542499. The reversal of 4297542480 is 842457924.

4297542480 is a `hidden beast` number, since 4 + 29 + 7 + 542 + 4 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 148191106 + ... + 148191134.

It is an arithmetic number, because the mean of its divisors is an integer number (20285160).

Almost surely, 24297542480 is an apocalyptic number.

4297542480 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 4297542480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9736876800).

4297542480 is an abundant number, since it is smaller than the sum of its proper divisors (15176211120).

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

4297542480 is a wasteful number, since it uses less digits than its factorization.

4297542480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 4297542480 is about 65555.6441505993. The cubic root of 4297542480 is about 1625.8234854206.

It can be divided in two parts, 429754 and 2480, that added together give a palindrome (432234).

The spelling of 4297542480 in words is "four billion, two hundred ninety-seven million, five hundred forty-two thousand, four hundred eighty".