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4292909280 = 253451130113
BaseRepresentation
bin1111111111100000…
…1001100011100000
3102002011212101110000
43333320021203200
532242441044110
61545551540000
7211245061332
oct37770114340
912064771400
104292909280
111903265310
129b982a600
13535508c0a
142ca1dd452
151a1d331c0
hexffe098e0

4292909280 has 240 divisors, whose sum is σ = 16528249584. Its totient is φ = 1040670720.

The previous prime is 4292909263. The next prime is 4292909297. The reversal of 4292909280 is 829092924.

It is an interprime number because it is at equal distance from previous prime (4292909263) and next prime (4292909297).

It is a tau number, because it is divible by the number of its divisors (240).

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 (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 127504 + ... + 157616.

Almost surely, 24292909280 is an apocalyptic number.

4292909280 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 4292909280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8264124792).

4292909280 is an abundant number, since it is smaller than the sum of its proper divisors (12235340304).

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

4292909280 is a wasteful number, since it uses less digits than its factorization.

4292909280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30151 (or 30134 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 4292909280 is about 65520.2967026249. The cubic root of 4292909280 is about 1625.2390061074.

The spelling of 4292909280 in words is "four billion, two hundred ninety-two million, nine hundred nine thousand, two hundred eighty".