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541699872 = 25374119661
BaseRepresentation
bin100000010010011…
…010111100100000
31101202022012112020
4200102122330200
52102133343442
6125430301440
716265241630
oct4022327440
91352265466
10541699872
1125885914a
121314b7880
13882c558c
1451d2c6c0
15328539ec
hex2049af20

541699872 has 96 divisors (see below), whose sum is σ = 1664820864. Its totient is φ = 150988800.

The previous prime is 541699871. The next prime is 541699897. The reversal of 541699872 is 278996145.

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

It is not an unprimeable number, because it can be changed into a prime (541699871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17722 + ... + 37382.

It is an arithmetic number, because the mean of its divisors is an integer number (17341884).

Almost surely, 2541699872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541699872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832410432).

541699872 is an abundant number, since it is smaller than the sum of its proper divisors (1123120992).

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

541699872 is a wasteful number, since it uses less digits than its factorization.

541699872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19722 (or 19714 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 51.

The square root of 541699872 is about 23274.4467603421. The cubic root of 541699872 is about 815.1788644775.

The spelling of 541699872 in words is "five hundred forty-one million, six hundred ninety-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 82 84 96 112 123 164 168 224 246 287 328 336 492 574 656 672 861 984 1148 1312 1722 1968 2296 3444 3936 4592 6888 9184 13776 19661 27552 39322 58983 78644 117966 137627 157288 235932 275254 314576 412881 471864 550508 629152 806101 825762 943728 1101016 1612202 1651524 1887456 2202032 2418303 3224404 3303048 4404064 4836606 5642707 6448808 6606096 9673212 11285414 12897616 13212192 16928121 19346424 22570828 25795232 33856242 38692848 45141656 67712484 77385696 90283312 135424968 180566624 270849936 541699872