[go: up one dir, main page]

Search a number
-
+
45224784 = 24331131307
BaseRepresentation
bin1010110010000…
…1001101010000
310011002122202000
42230201031100
543034143114
64253154000
71056255453
oct254411520
9104078660
1045224784
112358a060
121318b900
1394a5a37
14601349a
153e84e09
hex2b21350

45224784 has 160 divisors (see below), whose sum is σ = 146657280. Its totient is φ = 13219200.

The previous prime is 45224783. The next prime is 45224813. The reversal of 45224784 is 48742254.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45224783) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147159 + ... + 147465.

It is an arithmetic number, because the mean of its divisors is an integer number (916608).

Almost surely, 245224784 is an apocalyptic number.

45224784 is a gapful number since it is divisible by the number (44) 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 45224784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73328640).

45224784 is an abundant number, since it is smaller than the sum of its proper divisors (101432496).

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

45224784 is a wasteful number, since it uses less digits than its factorization.

45224784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 354 counting only the distinct ones).

The product of its digits is 71680, while the sum is 36.

The square root of 45224784 is about 6724.9374718283. The cubic root of 45224784 is about 356.2805934945.

The spelling of 45224784 in words is "forty-five million, two hundred twenty-four thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 31 33 36 44 48 54 62 66 72 88 93 99 108 124 132 144 176 186 198 216 248 264 279 297 307 341 372 396 432 496 528 558 594 614 682 744 792 837 921 1023 1116 1188 1228 1364 1488 1584 1674 1842 2046 2232 2376 2456 2728 2763 3069 3348 3377 3684 4092 4464 4752 4912 5456 5526 6138 6696 6754 7368 8184 8289 9207 9517 10131 11052 12276 13392 13508 14736 16368 16578 18414 19034 20262 22104 24552 27016 28551 30393 33156 36828 38068 40524 44208 49104 54032 57102 60786 66312 73656 76136 81048 85653 91179 104687 114204 121572 132624 147312 152272 162096 171306 182358 209374 228408 243144 256959 314061 342612 364716 418748 456816 486288 513918 628122 685224 729432 837496 942183 1027836 1256244 1370448 1458864 1674992 1884366 2055672 2512488 2826549 3768732 4111344 5024976 5653098 7537464 11306196 15074928 22612392 45224784