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54430404 = 22373783211
BaseRepresentation
bin1100111110100…
…0101011000100
310210102100110220
43033220223010
5102413233104
65222344340
71230436140
oct317505304
9123370426
1054430404
11287a7406
121628b0b0
13b379b52
14732c220
154ba27d9
hex33e8ac4

54430404 has 96 divisors (see below), whose sum is σ = 151581696. Its totient is φ = 14878080.

The previous prime is 54430399. The next prime is 54430423. The reversal of 54430404 is 40403445.

54430404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257859 + ... + 258069.

It is an arithmetic number, because the mean of its divisors is an integer number (1578976).

Almost surely, 254430404 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 54430404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75790848).

54430404 is an abundant number, since it is smaller than the sum of its proper divisors (97151292).

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

54430404 is a wasteful number, since it uses less digits than its factorization.

54430404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 54430404 is about 7377.6963884400. The cubic root of 54430404 is about 378.9778717851.

Adding to 54430404 its reverse (40403445), we get a palindrome (94833849).

The spelling of 54430404 in words is "fifty-four million, four hundred thirty thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 83 84 111 148 166 211 222 249 259 332 422 444 498 518 581 633 777 844 996 1036 1162 1266 1477 1554 1743 2324 2532 2954 3071 3108 3486 4431 5908 6142 6972 7807 8862 9213 12284 15614 17513 17724 18426 21497 23421 31228 35026 36852 42994 46842 52539 54649 64491 70052 85988 93684 105078 109298 122591 128982 163947 210156 218596 245182 257964 327894 367773 490364 647981 655788 735546 1295962 1471092 1943943 2591924 3887886 4535867 7775772 9071734 13607601 18143468 27215202 54430404