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45048432 = 24311136563
BaseRepresentation
bin1010101111011…
…0001001110000
310010202200211110
42223312021300
543013022212
64245313320
71054622352
oct253661160
9103680743
1045048432
1123479610
1213105840
1394436a0
145da90d2
153e4ca3c
hex2af6270

45048432 has 80 divisors (see below), whose sum is σ = 136741248. Its totient is φ = 12599040.

The previous prime is 45048403. The next prime is 45048433. The reversal of 45048432 is 23484054.

45048432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×450484322 = 4058722451317248, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45048432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45048433) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3583 + ... + 10145.

Almost surely, 245048432 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 45048432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68370624).

45048432 is an abundant number, since it is smaller than the sum of its proper divisors (91692816).

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

45048432 is a wasteful number, since it uses less digits than its factorization.

45048432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6598 (or 6592 counting only the distinct ones).

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

The square root of 45048432 is about 6711.8128698586. The cubic root of 45048432 is about 355.8168902205.

The spelling of 45048432 in words is "forty-five million, forty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 528 572 624 858 1144 1716 2288 3432 6563 6864 13126 19689 26252 39378 52504 72193 78756 85319 105008 144386 157512 170638 216579 255957 288772 315024 341276 433158 511914 577544 682552 866316 938509 1023828 1155088 1365104 1732632 1877018 2047656 2815527 3465264 3754036 4095312 5631054 7508072 11262108 15016144 22524216 45048432