[go: up one dir, main page]

Search a number
-
+
45234480 = 2435414597
BaseRepresentation
bin1010110010001…
…1100100110000
310011010011001010
42230203210300
543040000410
64253310520
71056325644
oct254434460
9104104033
1045234480
1123596375
1213195440
1394aa285
146016c24
153e87c20
hex2b23930

45234480 has 80 divisors (see below), whose sum is σ = 143678304. Its totient is φ = 11765760.

The previous prime is 45234457. The next prime is 45234481. The reversal of 45234480 is 8443254.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (45234481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7542 + ... + 12138.

Almost surely, 245234480 is an apocalyptic number.

45234480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45234480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71839152).

45234480 is an abundant number, since it is smaller than the sum of its proper divisors (98443824).

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

45234480 is a wasteful number, since it uses less digits than its factorization.

45234480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4654 (or 4648 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 45234480 is about 6725.6583320891. The cubic root of 45234480 is about 356.3060533529.

The spelling of 45234480 in words is "forty-five million, two hundred thirty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1230 1640 1968 2460 3280 4597 4920 9194 9840 13791 18388 22985 27582 36776 45970 55164 68955 73552 91940 110328 137910 183880 188477 220656 275820 367760 376954 551640 565431 753908 942385 1103280 1130862 1507816 1884770 2261724 2827155 3015632 3769540 4523448 5654310 7539080 9046896 11308620 15078160 22617240 45234480