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54430516 = 227191011013
BaseRepresentation
bin1100111110100…
…0101100110100
310210102100122001
43033220230310
5102413234031
65222345044
71230436360
oct317505464
9123370561
1054430516
11287a74a8
121628b184
13b379c0a
14732c2a0
154ba2861
hex33e8b34

54430516 has 48 divisors (see below), whose sum is σ = 115839360. Its totient is φ = 21859200.

The previous prime is 54430507. The next prime is 54430553. The reversal of 54430516 is 61503445.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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, 53226 + ... + 54238.

It is an arithmetic number, because the mean of its divisors is an integer number (2413320).

Almost surely, 254430516 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 54430516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57919680).

54430516 is an abundant number, since it is smaller than the sum of its proper divisors (61408844).

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

54430516 is a wasteful number, since it uses less digits than its factorization.

54430516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 54430516 is about 7377.7039788812. The cubic root of 54430516 is about 378.9781317225.

It can be divided in two parts, 54430 and 516, that added together give a triangular number (54946 = T331).

The spelling of 54430516 in words is "fifty-four million, four hundred thirty thousand, five hundred sixteen".

Divisors: 1 2 4 7 14 19 28 38 76 101 133 202 266 404 532 707 1013 1414 1919 2026 2828 3838 4052 7091 7676 13433 14182 19247 26866 28364 38494 53732 76988 102313 134729 204626 269458 409252 538916 716191 1432382 1943947 2864764 3887894 7775788 13607629 27215258 54430516