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534141408 = 25331179483
BaseRepresentation
bin11111110101100…
…101100111100000
31101020002012021010
4133311211213200
52043220011113
6125000300520
716144061403
oct3765454740
91336065233
10534141408
11254566389
1212aa71740
138687a108
1450d21d3a
1531d5e1c3
hex1fd659e0

534141408 has 48 divisors (see below), whose sum is σ = 1447358976. Its totient is φ = 172302720.

The previous prime is 534141407. The next prime is 534141409. The reversal of 534141408 is 804141435.

It is an interprime number because it is at equal distance from previous prime (534141407) and next prime (534141409).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (534141403) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 86766 + ... + 92717.

It is an arithmetic number, because the mean of its divisors is an integer number (30153312).

Almost surely, 2534141408 is an apocalyptic number.

It is an amenable number.

534141408 is an abundant number, since it is smaller than the sum of its proper divisors (913217568).

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

534141408 is a wasteful number, since it uses less digits than its factorization.

534141408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179527 (or 179519 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 534141408 is about 23111.4994753694. The cubic root of 534141408 is about 811.3696321762.

The spelling of 534141408 in words is "five hundred thirty-four million, one hundred forty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1488 2976 179483 358966 538449 717932 1076898 1435864 2153796 2871728 4307592 5563973 5743456 8615184 11127946 16691919 17230368 22255892 33383838 44511784 66767676 89023568 133535352 178047136 267070704 534141408