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1492058064 = 243733713177
BaseRepresentation
bin101100011101110…
…1111111111010000
310211222120101212210
41120323233333100
511023431324224
6404015552120
751655166340
oct13073577720
93758511783
101492058064
116a6256342
1235782b640
131aa1713c3
14102236d20
158aecb429
hex58eeffd0

1492058064 has 80 divisors (see below), whose sum is σ = 4418530688. Its totient is φ = 425005056.

The previous prime is 1492058059. The next prime is 1492058081. The reversal of 1492058064 is 4608502941.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106644 + ... + 119820.

Almost surely, 21492058064 is an apocalyptic number.

1492058064 is a gapful number since it is divisible by the number (14) 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 1492058064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2209265344).

1492058064 is an abundant number, since it is smaller than the sum of its proper divisors (2926472624).

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

1492058064 is a wasteful number, since it uses less digits than its factorization.

1492058064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13532 (or 13526 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 1492058064 is about 38627.1674343331. The cubic root of 1492058064 is about 1142.6903893250.

The spelling of 1492058064 in words is "one billion, four hundred ninety-two million, fifty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 337 674 1011 1348 2022 2359 2696 4044 4718 5392 7077 8088 9436 13177 14154 16176 18872 26354 28308 37744 39531 52708 56616 79062 92239 105416 113232 158124 184478 210832 276717 316248 368956 553434 632496 737912 1106868 1475824 2213736 4427472 4440649 8881298 13321947 17762596 26643894 31084543 35525192 53287788 62169086 71050384 93253629 106575576 124338172 186507258 213151152 248676344 373014516 497352688 746029032 1492058064