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4742077440 = 210352331433
BaseRepresentation
bin1000110101010011…
…00101110000000000
3110020111001111022210
410122221211300000
534202432434230
62102315102120
7225340664442
oct43251456000
913214044283
104742077440
112013862a71
12b04141940
135a75a40a9
1432db22492
151cb4a9eb0
hex11aa65c00

4742077440 has 352 divisors, whose sum is σ = 16374951936. Its totient is φ = 1167851520.

The previous prime is 4742077411. The next prime is 4742077469. The reversal of 4742077440 is 447702474.

It is an interprime number because it is at equal distance from previous prime (4742077411) and next prime (4742077469).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10951464 + ... + 10951896.

Almost surely, 24742077440 is an apocalyptic number.

4742077440 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 4742077440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8187475968).

4742077440 is an abundant number, since it is smaller than the sum of its proper divisors (11632874496).

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

4742077440 is a wasteful number, since it uses less digits than its factorization.

4742077440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 175616, while the sum is 39.

The square root of 4742077440 is about 68862.7434829604. The cubic root of 4742077440 is about 1680.0526060625.

The spelling of 4742077440 in words is "four billion, seven hundred forty-two million, seventy-seven thousand, four hundred forty".