Search a number
-
+
1045546164 = 2233132925679
BaseRepresentation
bin111110010100011…
…100010010110100
32200212101020201000
4332110130102310
54120124434124
6251425403300
734623665355
oct7624342264
92625336630
101045546164
11497202343
12252199530
131387c6290
149cc05d2c
1561bcb6c9
hex3e51c4b4

1045546164 has 96 divisors (see below), whose sum is σ = 3019968000. Its totient is φ = 310601088.

The previous prime is 1045546129. The next prime is 1045546301. The reversal of 1045546164 is 4616455401.

1045546164 is a `hidden beast` number, since 1 + 0 + 455 + 46 + 164 = 666.

1045546164 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-4 number, since 4×10455461644 (a number of 37 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27877 + ... + 53555.

It is an arithmetic number, because the mean of its divisors is an integer number (31458000).

Almost surely, 21045546164 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 1045546164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509984000).

1045546164 is an abundant number, since it is smaller than the sum of its proper divisors (1974421836).

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

1045546164 is a wasteful number, since it uses less digits than its factorization.

1045546164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25734 (or 25726 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 1045546164 is about 32334.9062778911. The cubic root of 1045546164 is about 1014.9572208102.

The spelling of 1045546164 in words is "one billion, forty-five million, five hundred forty-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 29 36 39 52 54 58 78 87 108 116 117 156 174 234 261 348 351 377 468 522 702 754 783 1044 1131 1404 1508 1566 2262 3132 3393 4524 6786 10179 13572 20358 25679 40716 51358 77037 102716 154074 231111 308148 333827 462222 667654 693333 744691 924444 1001481 1335308 1386666 1489382 2002962 2234073 2773332 2978764 3004443 4005924 4468146 6008886 6702219 8936292 9013329 9680983 12017772 13404438 18026658 19361966 20106657 26808876 29042949 36053316 38723932 40213314 58085898 80426628 87128847 116171796 174257694 261386541 348515388 522773082 1045546164