Search a number
-
+
45574452 = 223271141401
BaseRepresentation
bin1010110111011…
…0100100110100
310011202102101200
42231312210310
543131340302
64304452500
71062243060
oct255664464
9104672350
1045574452
11237a8840
121331a130
139598c41
1460a4aa0
15400381c
hex2b76934

45574452 has 144 divisors (see below), whose sum is σ = 147498624. Its totient is φ = 11520000.

The previous prime is 45574447. The next prime is 45574469. The reversal of 45574452 is 25447554.

It is a happy number.

45574452 is a `hidden beast` number, since 45 + 574 + 45 + 2 = 666.

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 47 ways as a sum of consecutive naturals, for example, 113452 + ... + 113852.

It is an arithmetic number, because the mean of its divisors is an integer number (1024296).

Almost surely, 245574452 is an apocalyptic number.

45574452 is a gapful number since it is divisible by the number (42) 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 45574452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73749312).

45574452 is an abundant number, since it is smaller than the sum of its proper divisors (101924172).

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

45574452 is a wasteful number, since it uses less digits than its factorization.

45574452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 465 counting only the distinct ones).

The product of its digits is 112000, while the sum is 36.

The square root of 45574452 is about 6750.8852752806. The cubic root of 45574452 is about 357.1964646083.

It can be divided in two parts, 4557 and 4452, that added together give a palindrome (9009).

The spelling of 45574452 in words is "forty-five million, five hundred seventy-four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 41 42 44 63 66 77 82 84 99 123 126 132 154 164 198 231 246 252 287 308 369 396 401 451 462 492 574 693 738 802 861 902 924 1148 1203 1353 1386 1476 1604 1722 1804 2406 2583 2706 2772 2807 3157 3444 3609 4059 4411 4812 5166 5412 5614 6314 7218 8118 8421 8822 9471 10332 11228 12628 13233 14436 16236 16441 16842 17644 18942 25263 26466 28413 30877 32882 33684 37884 39699 49323 50526 52932 56826 61754 65764 79398 92631 98646 101052 113652 115087 123508 147969 158796 180851 185262 197292 230174 277893 295938 345261 361702 370524 460348 542553 555786 591876 690522 723404 1035783 1085106 1111572 1265957 1381044 1627659 2071566 2170212 2531914 3255318 3797871 4143132 5063828 6510636 7595742 11393613 15191484 22787226 45574452