Search a number
-
+
45402500 = 22541113127
BaseRepresentation
bin1010110100110…
…0100110000100
310011102200112002
42231030212010
543110340000
64301044432
71060625543
oct255144604
9104380462
1045402500
11236a0630
1213256718
1395388b0
14605c15a
153ebc8d5
hex2b4c984

45402500 has 120 divisors (see below), whose sum is σ = 117562368. Its totient is φ = 15120000.

The previous prime is 45402491. The next prime is 45402541. The reversal of 45402500 is 520454.

It is a happy number.

It is a super-2 number, since 2×454025002 = 4122774012500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 357437 + ... + 357563.

Almost surely, 245402500 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 45402500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58781184).

45402500 is an abundant number, since it is smaller than the sum of its proper divisors (72159868).

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

45402500 is a wasteful number, since it uses less digits than its factorization.

45402500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 45402500 is about 6738.1377249207. The cubic root of 45402500 is about 356.7466654143.

Adding to 45402500 its reverse (520454), we get a palindrome (45922954).

The spelling of 45402500 in words is "forty-five million, four hundred two thousand, five hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 125 127 130 143 220 250 254 260 275 286 325 500 508 550 572 625 635 650 715 1100 1250 1270 1300 1375 1397 1430 1625 1651 2500 2540 2750 2794 2860 3175 3250 3302 3575 5500 5588 6350 6500 6604 6875 6985 7150 8125 8255 12700 13750 13970 14300 15875 16250 16510 17875 18161 27500 27940 31750 32500 33020 34925 35750 36322 41275 63500 69850 71500 72644 79375 82550 89375 90805 139700 158750 165100 174625 178750 181610 206375 317500 349250 357500 363220 412750 454025 698500 825500 873125 908050 1031875 1746250 1816100 2063750 2270125 3492500 4127500 4540250 9080500 11350625 22701250 45402500