Search a number
-
+
45369480 = 233513127229
BaseRepresentation
bin1010110100010…
…0100010001000
310011101000020010
42231010202020
543103310410
64300231520
71060430352
oct255044210
9104330203
1045369480
1123678842
121323b5a0
139526860
1460500d2
153eb2c20
hex2b44888

45369480 has 128 divisors (see below), whose sum is σ = 148377600. Its totient is φ = 11031552.

The previous prime is 45369479. The next prime is 45369487. The reversal of 45369480 is 8496354.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (45369487) 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, 198006 + ... + 198234.

It is an arithmetic number, because the mean of its divisors is an integer number (1159200).

Almost surely, 245369480 is an apocalyptic number.

45369480 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 45369480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74188800).

45369480 is an abundant number, since it is smaller than the sum of its proper divisors (103008120).

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

45369480 is a wasteful number, since it uses less digits than its factorization.

45369480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 45369480 is about 6735.6870473620. The cubic root of 45369480 is about 356.6601603999.

The spelling of 45369480 in words is "forty-five million, three hundred sixty-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 127 130 156 195 229 254 260 312 381 390 458 508 520 635 687 762 780 916 1016 1145 1270 1374 1524 1560 1651 1832 1905 2290 2540 2748 2977 3048 3302 3435 3810 4580 4953 5080 5496 5954 6604 6870 7620 8255 8931 9160 9906 11908 13208 13740 14885 15240 16510 17862 19812 23816 24765 27480 29083 29770 33020 35724 39624 44655 49530 58166 59540 66040 71448 87249 89310 99060 116332 119080 145415 174498 178620 198120 232664 290830 348996 357240 378079 436245 581660 697992 756158 872490 1134237 1163320 1512316 1744980 1890395 2268474 3024632 3489960 3780790 4536948 5671185 7561580 9073896 11342370 15123160 22684740 45369480