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541040388 = 223717935983
BaseRepresentation
bin100000001111111…
…001111100000100
31101201001200212220
4200033321330010
52102001243023
6125404212340
716256524140
oct4017717404
91351050786
10541040388
11258448719
1213123a0b0
1388124355
1451bda220
15327733e3
hex203f9f04

541040388 has 48 divisors (see below), whose sum is σ = 1450874880. Its totient is φ = 153715104.

The previous prime is 541040363. The next prime is 541040407. The reversal of 541040388 is 883040145.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2956 + ... + 33027.

It is an arithmetic number, because the mean of its divisors is an integer number (30226560).

Almost surely, 2541040388 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 541040388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725437440).

541040388 is an abundant number, since it is smaller than the sum of its proper divisors (909834492).

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

541040388 is a wasteful number, since it uses less digits than its factorization.

541040388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36176 (or 36174 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 541040388 is about 23260.2748908950. The cubic root of 541040388 is about 814.8479212394.

The spelling of 541040388 in words is "five hundred forty-one million, forty thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 179 358 537 716 1074 1253 2148 2506 3759 5012 7518 15036 35983 71966 107949 143932 215898 251881 431796 503762 755643 1007524 1511286 3022572 6440957 12881914 19322871 25763828 38645742 45086699 77291484 90173398 135260097 180346796 270520194 541040388