[go: up one dir, main page]

Search a number
-
+
45501000 = 2335329523
BaseRepresentation
bin1010110110010…
…0101001001000
310011121200122020
42231210221020
543122013000
64303124440
71061515656
oct255445110
9104550566
1045501000
1123758636
12132a3720
13957168c
146085dd6
153edbba0
hex2b64a48

45501000 has 128 divisors (see below), whose sum is σ = 147139200. Its totient is φ = 11692800.

The previous prime is 45500929. The next prime is 45501011. The reversal of 45501000 is 10554.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 86739 + ... + 87261.

It is an arithmetic number, because the mean of its divisors is an integer number (1149525).

Almost surely, 245501000 is an apocalyptic number.

45501000 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 45501000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73569600).

45501000 is an abundant number, since it is smaller than the sum of its proper divisors (101638200).

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

45501000 is a wasteful number, since it uses less digits than its factorization.

45501000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 45501000 is about 6745.4429061404. The cubic root of 45501000 is about 357.0044644751.

Adding to 45501000 its reverse (10554), we get a palindrome (45511554).

The spelling of 45501000 in words is "forty-five million, five hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 29 30 40 50 58 60 75 87 100 116 120 125 145 150 174 200 232 250 290 300 348 375 435 500 523 580 600 696 725 750 870 1000 1046 1160 1450 1500 1569 1740 2092 2175 2615 2900 3000 3138 3480 3625 4184 4350 5230 5800 6276 7250 7845 8700 10460 10875 12552 13075 14500 15167 15690 17400 20920 21750 26150 29000 30334 31380 39225 43500 45501 52300 60668 62760 65375 75835 78450 87000 91002 104600 121336 130750 151670 156900 182004 196125 227505 261500 303340 313800 364008 379175 392250 455010 523000 606680 758350 784500 910020 1137525 1516700 1569000 1820040 1895875 2275050 3033400 3791750 4550100 5687625 7583500 9100200 11375250 15167000 22750500 45501000