Search a number
-
+
9482443920 = 2432541321221
BaseRepresentation
bin10001101010011001…
…01001110010010000
3220110211220001122200
420311030221302100
5123410001201140
64204533403200
7453661305045
oct106514516220
926424801580
109482443920
114026657514
121a07799500
13b816c9481
1465d51b1cc
153a7728030
hex235329c90

9482443920 has 120 divisors (see below), whose sum is σ = 32622021432. Its totient is φ = 2466969600.

The previous prime is 9482443891. The next prime is 9482443931. The reversal of 9482443920 is 293442849.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 920272896 + 8562171024 = 30336^2 + 92532^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131091 + ... + 190130.

Almost surely, 29482443920 is an apocalyptic number.

9482443920 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9482443920 is an abundant number, since it is smaller than the sum of its proper divisors (23139577512).

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

9482443920 is a wasteful number, since it uses less digits than its factorization.

9482443920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321281 (or 321272 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 9482443920 is about 97377.8410111869. The cubic root of 9482443920 is about 2116.6063480307.

The spelling of 9482443920 in words is "nine billion, four hundred eighty-two million, four hundred forty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 41 45 48 60 72 80 82 90 120 123 144 164 180 205 240 246 328 360 369 410 492 615 656 720 738 820 984 1230 1476 1640 1845 1968 2460 2952 3280 3690 4920 5904 7380 9840 14760 29520 321221 642442 963663 1284884 1606105 1927326 2569768 2890989 3212210 3854652 4818315 5139536 5781978 6424420 7709304 9636630 11563956 12848840 13170061 14454945 15418608 19273260 23127912 25697680 26340122 28909890 38546520 39510183 46255824 52680244 57819780 65850305 77093040 79020366 105360488 115639560 118530549 131700610 158040732 197550915 210720976 231279120 237061098 263401220 316081464 395101830 474122196 526802440 592652745 632162928 790203660 948244392 1053604880 1185305490 1580407320 1896488784 2370610980 3160814640 4741221960 9482443920