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5457958884 = 22327217592
BaseRepresentation
bin1010001010101000…
…11101011111100100
3112002101010001001100
411011110131133210
542134214141014
62301331000100
7252152612400
oct50524353744
915071101040
105457958884
11235096a324
121083a39030
1368c9b4091
1439ac32100
1521e268009
hex14551d7e4

5457958884 has 81 divisors (see below), whose sum is σ = 16058127267. Its totient is φ = 1558530288.

The previous prime is 5457958879. The next prime is 5457958951. The reversal of 5457958884 is 4888597545.

The square root of 5457958884 is 73878.

It is a perfect power (a square), and thus also a powerful number.

5457958884 is a `hidden beast` number, since 5 + 4 + 579 + 58 + 8 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 26 ways as a sum of consecutive naturals, for example, 3101997 + ... + 3103755.

Almost surely, 25457958884 is an apocalyptic number.

5457958884 is the 73878-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5457958884

5457958884 is an abundant number, since it is smaller than the sum of its proper divisors (10600168383).

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

5457958884 is a wasteful number, since it uses less digits than its factorization.

5457958884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3542 (or 1771 counting only the distinct ones).

The product of its digits is 64512000, while the sum is 63.

The cubic root of 5457958884 is about 1760.6650899757.

The spelling of 5457958884 in words is "five billion, four hundred fifty-seven million, nine hundred fifty-eight thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1759 1764 3518 5277 7036 10554 12313 15831 21108 24626 31662 36939 49252 63324 73878 86191 110817 147756 172382 221634 258573 344764 443268 517146 775719 1034292 1551438 3094081 3102876 6188162 9282243 12376324 18564486 21658567 27846729 37128972 43317134 55693458 64975701 86634268 111386916 129951402 151609969 194927103 259902804 303219938 389854206 454829907 606439876 779708412 909659814 1364489721 1819319628 2728979442 5457958884