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31480488 = 23341337101
BaseRepresentation
bin111100000010…
…1101010101000
32012020101010000
41320011222220
531024333423
63042423000
7531402564
oct170055250
965211100
1031480488
1116851836
12a661a60
1366a2b10
1442766a4
152b6c843
hex1e05aa8

31480488 has 160 divisors (see below), whose sum is σ = 98489160. Its totient is φ = 9331200.

The previous prime is 31480441. The next prime is 31480507. The reversal of 31480488 is 88408413.

It can be written as a sum of positive squares in 4 ways, for example, as 31337604 + 142884 = 5598^2 + 378^2 .

It is a super-2 number, since 2×314804882 = 1982042249436288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 9.

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 39 ways as a sum of consecutive naturals, for example, 311638 + ... + 311738.

Almost surely, 231480488 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 31480488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49244580).

31480488 is an abundant number, since it is smaller than the sum of its proper divisors (67008672).

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

31480488 is a wasteful number, since it uses less digits than its factorization.

31480488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 31480488 is about 5610.7475437770. The cubic root of 31480488 is about 315.7527575207.

The spelling of 31480488 in words is "thirty-one million, four hundred eighty thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 37 39 52 54 72 74 78 81 101 104 108 111 117 148 156 162 202 216 222 234 296 303 312 324 333 351 404 444 468 481 606 648 666 702 808 888 909 936 962 999 1053 1212 1313 1332 1404 1443 1818 1924 1998 2106 2424 2626 2664 2727 2808 2886 2997 3636 3737 3848 3939 3996 4212 4329 5252 5454 5772 5994 7272 7474 7878 7992 8181 8424 8658 10504 10908 11211 11544 11817 11988 12987 14948 15756 16362 17316 21816 22422 23634 23976 25974 29896 31512 32724 33633 34632 35451 38961 44844 47268 48581 51948 65448 67266 70902 77922 89688 94536 97162 100899 103896 106353 134532 141804 145743 155844 194324 201798 212706 269064 283608 291486 302697 311688 388648 403596 425412 437229 582972 605394 807192 850824 874458 1165944 1210788 1311687 1748916 2421576 2623374 3497832 3935061 5246748 7870122 10493496 15740244 31480488