Search a number
-
+
5423541408 = 25338837109
BaseRepresentation
bin1010000110100010…
…01010110010100000
3111222222100110011000
411003101022302200
542101411311113
62254101152000
7251254225035
oct50321126240
914888313130
105423541408
1123334a1a2a
1210743bb600
136858234cc
1439643338c
1521b21a373
hex14344aca0

5423541408 has 96 divisors (see below), whose sum is σ = 15838804800. Its totient is φ = 1805545728.

The previous prime is 5423541371. The next prime is 5423541439. The reversal of 5423541408 is 8041453245.

It is a happy number.

5423541408 is a `hidden beast` number, since 5 + 4 + 235 + 414 + 0 + 8 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 759358 + ... + 766466.

It is an arithmetic number, because the mean of its divisors is an integer number (164987550).

Almost surely, 25423541408 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 5423541408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7919402400).

5423541408 is an abundant number, since it is smaller than the sum of its proper divisors (10415263392).

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

5423541408 is a wasteful number, since it uses less digits than its factorization.

5423541408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8011 (or 7997 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 5423541408 is about 73644.6970799663. The cubic root of 5423541408 is about 1756.9564098253.

The spelling of 5423541408 in words is "five billion, four hundred twenty-three million, five hundred forty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 883 1766 2649 3532 5298 7064 7109 7947 10596 14128 14218 15894 21192 21327 23841 28256 28436 31788 42384 42654 47682 56872 63576 63981 84768 85308 95364 113744 127152 127962 170616 190728 191943 227488 254304 255924 341232 381456 383886 511848 682464 762912 767772 1023696 1535544 2047392 3071088 6142176 6277247 12554494 18831741 25108988 37663482 50217976 56495223 75326964 100435952 112990446 150653928 169485669 200871904 225980892 301307856 338971338 451961784 602615712 677942676 903923568 1355885352 1807847136 2711770704 5423541408