Search a number
-
+
940411472 = 247111371827
BaseRepresentation
bin111000000011011…
…000101001010000
32102112112212000112
4320003120221100
53411221131342
6233152140452
732206236260
oct7003305120
92375485015
10940411472
11442924070
12222b37728
1311caa55c0
148cc797a0
1557860682
hex380d8a50

940411472 has 160 divisors (see below), whose sum is σ = 2483841024. Its totient is φ = 333043200.

The previous prime is 940411453. The next prime is 940411487. The reversal of 940411472 is 274114049.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1136723 + ... + 1137549.

Almost surely, 2940411472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 940411472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241920512).

940411472 is an abundant number, since it is smaller than the sum of its proper divisors (1543429552).

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

940411472 is a wasteful number, since it uses less digits than its factorization.

940411472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 940411472 is about 30666.1290677516. The cubic root of 940411472 is about 979.7290212888.

The spelling of 940411472 in words is "nine hundred forty million, four hundred eleven thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 71 77 88 91 104 112 142 143 154 176 182 208 284 286 308 364 497 568 572 616 728 781 827 923 994 1001 1136 1144 1232 1456 1562 1654 1846 1988 2002 2288 3124 3308 3692 3976 4004 5467 5789 6248 6461 6616 7384 7952 8008 9097 10153 10751 10934 11578 12496 12922 13232 14768 16016 18194 20306 21502 21868 23156 25844 36388 40612 43004 43736 46312 51688 58717 63679 71071 72776 75257 81224 86008 87472 92624 103376 117434 118261 127358 142142 145552 150514 162448 172016 234868 236522 254716 284284 301028 411019 469736 473044 509432 568568 602056 645887 763321 822038 827827 939472 946088 1018864 1137136 1204112 1291774 1526642 1644076 1655654 1892176 2583548 3053284 3288152 3311308 4521209 5167096 5343247 6106568 6576304 6622616 8396531 9042418 10334192 10686494 12213136 13245232 16793062 18084836 21372988 33586124 36169672 42745976 58775717 67172248 72339344 85491952 117551434 134344496 235102868 470205736 940411472