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1472241888 = 2532131723131
BaseRepresentation
bin101011111000000…
…1010000011100000
310210121021122012100
41113300022003200
511003343220023
6402031130400
751324564255
oct12760120340
93717248170
101472241888
11696051137
12351073a00
131a6023860
14dd75942c
15893b4c43
hex57c0a0e0

1472241888 has 144 divisors (see below), whose sum is σ = 4774167216. Its totient is φ = 426332160.

The previous prime is 1472241887. The next prime is 1472241889. The reversal of 1472241888 is 8881422741.

It is an interprime number because it is at equal distance from previous prime (1472241887) and next prime (1472241889).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1472241887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52083 + ... + 75213.

It is an arithmetic number, because the mean of its divisors is an integer number (33153939).

Almost surely, 21472241888 is an apocalyptic number.

1472241888 is a gapful number since it is divisible by the number (18) 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 1472241888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2387083608).

1472241888 is an abundant number, since it is smaller than the sum of its proper divisors (3301925328).

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

1472241888 is a wasteful number, since it uses less digits than its factorization.

1472241888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23177 (or 23166 counting only the distinct ones).

The product of its digits is 229376, while the sum is 45.

The square root of 1472241888 is about 38369.8043779220. The cubic root of 1472241888 is about 1137.6090980656.

The spelling of 1472241888 in words is "one billion, four hundred seventy-two million, two hundred forty-one thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 17 18 24 26 32 34 36 39 48 51 52 68 72 78 96 102 104 117 136 144 153 156 204 208 221 234 272 288 306 312 408 416 442 468 544 612 624 663 816 884 936 1224 1248 1326 1632 1768 1872 1989 2448 2652 3536 3744 3978 4896 5304 7072 7956 10608 15912 21216 23131 31824 46262 63648 69393 92524 138786 185048 208179 277572 300703 370096 393227 416358 555144 601406 740192 786454 832716 902109 1110288 1179681 1202812 1572908 1665432 1804218 2220576 2359362 2405624 2706327 3145816 3330864 3539043 3608436 4718724 4811248 5111951 5412654 6291632 6661728 7078086 7216872 9437448 9622496 10223902 10825308 12583264 14156172 14433744 15335853 18874896 20447804 21650616 28312344 28867488 30671706 37749792 40895608 43301232 46007559 56624688 61343412 81791216 86602464 92015118 113249376 122686824 163582432 184030236 245373648 368060472 490747296 736120944 1472241888