Search a number
-
+
452948080 = 245133779149
BaseRepresentation
bin11010111111110…
…111000001110000
31011120022010221211
4122333313001300
51411423314310
6112540125504
714136665224
oct3277670160
91146263854
10452948080
1121274a662
12107836894
1372abc820
1444228784
1529b71c8a
hex1aff7070

452948080 has 160 divisors (see below), whose sum is σ = 1187424000. Its totient is φ = 159584256.

The previous prime is 452948063. The next prime is 452948101. The reversal of 452948080 is 80849254.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3039846 + ... + 3039994.

It is an arithmetic number, because the mean of its divisors is an integer number (7421400).

Almost surely, 2452948080 is an apocalyptic number.

452948080 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 452948080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593712000).

452948080 is an abundant number, since it is smaller than the sum of its proper divisors (734475920).

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

452948080 is a wasteful number, since it uses less digits than its factorization.

452948080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 452948080 is about 21282.5769116430. The cubic root of 452948080 is about 767.9792294006.

The spelling of 452948080 in words is "four hundred fifty-two million, nine hundred forty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 37 40 52 65 74 79 80 104 130 148 149 158 185 208 260 296 298 316 370 395 481 520 592 596 632 740 745 790 962 1027 1040 1192 1264 1480 1490 1580 1924 1937 2054 2384 2405 2923 2960 2980 3160 3848 3874 4108 4810 5135 5513 5846 5960 6320 7696 7748 8216 9620 9685 10270 11026 11692 11771 11920 14615 15496 16432 19240 19370 20540 22052 23384 23542 27565 29230 30992 37999 38480 38740 41080 44104 46768 47084 55130 58460 58855 71669 75998 77480 82160 88208 94168 110260 116920 117710 143338 151996 153023 154960 188336 189995 220520 233840 235420 286676 303992 306046 358345 379990 435527 441040 470840 573352 607984 612092 716690 759980 765115 871054 941680 1146704 1224184 1433380 1519960 1530230 1742108 2177635 2448368 2866760 3039920 3060460 3484216 4355270 5661851 5733520 6120920 6968432 8710540 11323702 12241840 17421080 22647404 28309255 34842160 45294808 56618510 90589616 113237020 226474040 452948080