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4542460640 = 25567643659
BaseRepresentation
bin1000011101100000…
…00111001011100000
3102201120102220112222
410032300013023200
533300332220030
62030424410212
7220365164324
oct41660071340
912646386488
104542460640
111a21111a03
12a69316968
13575122343
143113dd984
151b8bc93e5
hex10ec072e0

4542460640 has 96 divisors (see below), whose sum is σ = 10925228160. Its totient is φ = 1784369664.

The previous prime is 4542460631. The next prime is 4542460667. The reversal of 4542460640 is 460642454.

It is a self number, because there is not a number n which added to its sum of digits gives 4542460640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6892631 + ... + 6893289.

It is an arithmetic number, because the mean of its divisors is an integer number (113804460).

Almost surely, 24542460640 is an apocalyptic number.

4542460640 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 4542460640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5462614080).

4542460640 is an abundant number, since it is smaller than the sum of its proper divisors (6382767520).

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

4542460640 is a wasteful number, since it uses less digits than its factorization.

4542460640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

The square root of 4542460640 is about 67397.7791918992. The cubic root of 4542460640 is about 1656.1400419893.

The spelling of 4542460640 in words is "four billion, five hundred forty-two million, four hundred sixty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 67 80 134 160 268 335 536 643 659 670 1072 1286 1318 1340 2144 2572 2636 2680 3215 3295 5144 5272 5360 6430 6590 10288 10544 10720 12860 13180 20576 21088 25720 26360 43081 44153 51440 52720 86162 88306 102880 105440 172324 176612 215405 220765 344648 353224 423737 430810 441530 689296 706448 847474 861620 883060 1378592 1412896 1694948 1723240 1766120 2118685 3389896 3446480 3532240 4237370 6779792 6892960 7064480 8474740 13559584 16949480 28390379 33898960 56780758 67797920 113561516 141951895 227123032 283903790 454246064 567807580 908492128 1135615160 2271230320 4542460640