Search a number
-
+
45773312 = 29132232
BaseRepresentation
bin1010111010011…
…1001000000000
310012010112011212
42232213020000
543204221222
64313025252
71064031614
oct256471000
9105115155
1045773312
1123924192
12133b5228
139638600
146117344
1540426e2
hex2ba7200

45773312 has 90 divisors (see below), whose sum is σ = 103526577. Its totient is φ = 20207616.

The previous prime is 45773297. The next prime is 45773317. The reversal of 45773312 is 21337754.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 39137536 + 6635776 = 6256^2 + 2576^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=4784.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

Its product of digits (17640) is a multiple of the sum of its prime factors (90).

It is not an unprimeable number, because it can be changed into a prime (45773317) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1990133 + ... + 1990155.

Almost surely, 245773312 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 45773312

45773312 is an abundant number, since it is smaller than the sum of its proper divisors (57753265).

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

45773312 is an equidigital number, since it uses as much as digits as its factorization.

45773312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 38 counting only the distinct ones).

The product of its digits is 17640, while the sum is 32.

The square root of 45773312 is about 6765.5976823929. The cubic root of 45773312 is about 357.7152422825.

Multiplying 45773312 by its sum of digits (32), we get a square (1464745984 = 382722).

45773312 divided by its sum of digits (32) gives a square (1430416 = 11962).

The spelling of 45773312 in words is "forty-five million, seven hundred seventy-three thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 128 169 184 208 256 299 338 368 416 512 529 598 676 736 832 1058 1196 1352 1472 1664 2116 2392 2704 2944 3328 3887 4232 4784 5408 5888 6656 6877 7774 8464 9568 10816 11776 13754 15548 16928 19136 21632 27508 31096 33856 38272 43264 55016 62192 67712 76544 86528 89401 110032 124384 135424 153088 178802 220064 248768 270848 357604 440128 497536 715208 880256 995072 1430416 1760512 1990144 2860832 3521024 5721664 11443328 22886656 45773312