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541438896 = 243192692207
BaseRepresentation
bin100000010001011…
…011001110110000
31101201210221112110
4200101123032300
52102102021041
6125420525320
716263104025
oct4021331660
91351727473
10541438896
112586a0069
121313b0840
138823385b
1451ca154c
1532801516
hex2045b3b0

541438896 has 80 divisors (see below), whose sum is σ = 1478476800. Its totient is φ = 170267904.

The previous prime is 541438847. The next prime is 541438897. The reversal of 541438896 is 698834145.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (541438897) 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, 244225 + ... + 246431.

It is an arithmetic number, because the mean of its divisors is an integer number (18480960).

Almost surely, 2541438896 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 541438896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739238400).

541438896 is an abundant number, since it is smaller than the sum of its proper divisors (937037904).

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

541438896 is a wasteful number, since it uses less digits than its factorization.

541438896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2506 (or 2500 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The square root of 541438896 is about 23268.8395928976. The cubic root of 541438896 is about 815.0479332466.

The spelling of 541438896 in words is "five hundred forty-one million, four hundred thirty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 269 304 456 538 807 912 1076 1614 2152 2207 3228 4304 4414 5111 6456 6621 8828 10222 12912 13242 15333 17656 20444 26484 30666 35312 40888 41933 52968 61332 81776 83866 105936 122664 125799 167732 245328 251598 335464 503196 593683 670928 1006392 1187366 1781049 2012784 2374732 3562098 4749464 7124196 9498928 11279977 14248392 22559954 28496784 33839931 45119908 67679862 90239816 135359724 180479632 270719448 541438896