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4054075488 = 253316132909
BaseRepresentation
bin1111000110100100…
…0100100001100000
3101110112110101002000
43301221010201200
531300320403423
61510140524000
7202315034031
oct36151044140
911415411060
104054075488
1117a0468a11
12951850600
134c7ba5b48
142a65cca88
1518ada7843
hexf1a44860

4054075488 has 96 divisors (see below), whose sum is σ = 11835784800. Its totient is φ = 1350056448.

The previous prime is 4054075481. The next prime is 4054075507. The reversal of 4054075488 is 8845704504.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4054075481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1392178 + ... + 1395086.

It is an arithmetic number, because the mean of its divisors is an integer number (123289425).

Almost surely, 24054075488 is an apocalyptic number.

4054075488 is a gapful number since it is divisible by the number (48) 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 4054075488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5917892400).

4054075488 is an abundant number, since it is smaller than the sum of its proper divisors (7781709312).

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

4054075488 is a wasteful number, since it uses less digits than its factorization.

4054075488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4541 (or 4527 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The square root of 4054075488 is about 63671.6223132409. The cubic root of 4054075488 is about 1594.5223476450.

The spelling of 4054075488 in words is "four billion, fifty-four million, seventy-five thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1613 2909 3226 4839 5818 6452 8727 9678 11636 12904 14517 17454 19356 23272 25808 26181 29034 34908 38712 43551 46544 51616 52362 58068 69816 77424 78543 87102 93088 104724 116136 139632 154848 157086 174204 209448 232272 279264 314172 348408 418896 464544 628344 696816 837792 1256688 1393632 2513376 4692217 9384434 14076651 18768868 28153302 37537736 42229953 56306604 75075472 84459906 112613208 126689859 150150944 168919812 225226416 253379718 337839624 450452832 506759436 675679248 1013518872 1351358496 2027037744 4054075488