Search a number
-
+
481514112 = 2733197333
BaseRepresentation
bin11100101100110…
…101001010000000
31020120001110012000
4130230311022000
51441231422422
6115440304000
714634542142
oct3454651200
91216043160
10481514112
11227890752
12115312000
13789b1bc1
1447d42c92
152c415cac
hex1cb35280

481514112 has 128 divisors (see below), whose sum is σ = 1496136000. Its totient is φ = 152036352.

The previous prime is 481514081. The next prime is 481514123. The reversal of 481514112 is 211415184.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61998 + ... + 69330.

Almost surely, 2481514112 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 481514112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748068000).

481514112 is an abundant number, since it is smaller than the sum of its proper divisors (1014621888).

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

481514112 is a wasteful number, since it uses less digits than its factorization.

481514112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7375 (or 7357 counting only the distinct ones).

The product of its digits is 1280, while the sum is 27.

The square root of 481514112 is about 21943.4298139557. The cubic root of 481514112 is about 783.7959346718.

Adding to 481514112 its reverse (211415184), we get a palindrome (692929296).

The spelling of 481514112 in words is "four hundred eighty-one million, five hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 288 304 342 384 432 456 513 576 608 684 864 912 1026 1152 1216 1368 1728 1824 2052 2432 2736 3456 3648 4104 5472 7296 7333 8208 10944 14666 16416 21888 21999 29332 32832 43998 58664 65664 65997 87996 117328 131994 139327 175992 197991 234656 263988 278654 351984 395982 417981 469312 527976 557308 703968 791964 835962 938624 1055952 1114616 1253943 1407936 1583928 1671924 2111904 2229232 2507886 2815872 3167856 3343848 3761829 4223808 4458464 5015772 6335712 6687696 7523658 8447616 8916928 10031544 12671424 13375392 15047316 17833856 20063088 25342848 26750784 30094632 40126176 53501568 60189264 80252352 120378528 160504704 240757056 481514112