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45383936 = 281321049
BaseRepresentation
bin1010110100100…
…0000100000000
310011101202001112
42231020010000
543104241221
64300422452
71060520453
oct255100400
9104352045
1045383936
1123688694
1213247a28
139530300
14605549a
153eb715b
hex2b48100

45383936 has 54 divisors (see below), whose sum is σ = 98188650. Its totient is φ = 20926464.

The previous prime is 45383909. The next prime is 45383971. The reversal of 45383936 is 63938354.

It can be written as a sum of positive squares in 3 ways, for example, as 2560000 + 42823936 = 1600^2 + 6544^2 .

It is a junction number, because it is equal to n+sod(n) for n = 45383893 and 45383902.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 42740 + ... + 43788.

Almost surely, 245383936 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 45383936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49094325).

45383936 is an abundant number, since it is smaller than the sum of its proper divisors (52804714).

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

45383936 is a wasteful number, since it uses less digits than its factorization.

45383936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091 (or 1064 counting only the distinct ones).

The product of its digits is 233280, while the sum is 41.

The square root of 45383936 is about 6736.7600521319. The cubic root of 45383936 is about 356.6980370502.

The spelling of 45383936 in words is "forty-five million, three hundred eighty-three thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 676 832 1049 1352 1664 2098 2704 3328 4196 5408 8392 10816 13637 16784 21632 27274 33568 43264 54548 67136 109096 134272 177281 218192 268544 354562 436384 709124 872768 1418248 1745536 2836496 3491072 5672992 11345984 22691968 45383936