Search a number
-
+
48075620352 = 21431951479
BaseRepresentation
bin101100110001100001…
…111100000000000000
311121002110202120000120
4230301201330000000
51241424324322402
634030255220240
73321234013314
oct546141740000
9147073676016
1048075620352
1119430486151
129398517680
1346c2181446
142480d1bb44
1513b596d3bc
hexb3187c000

48075620352 has 120 divisors (see below), whose sum is σ = 134947612800. Its totient is φ = 15181479936.

The previous prime is 48075620347. The next prime is 48075620363. The reversal of 48075620352 is 25302657084.

It is a super-3 number, since 3×480756203523 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 908149 + ... + 959627.

It is an arithmetic number, because the mean of its divisors is an integer number (1124563440).

Almost surely, 248075620352 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 48075620352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67473806400).

48075620352 is an abundant number, since it is smaller than the sum of its proper divisors (86871992448).

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

48075620352 is an equidigital number, since it uses as much as digits as its factorization.

48075620352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51529 (or 51503 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 48075620352 in words is "forty-eight billion, seventy-five million, six hundred twenty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 512 608 768 912 1024 1216 1536 1824 2048 2432 3072 3648 4096 4864 6144 7296 8192 9728 12288 14592 16384 19456 24576 29184 38912 49152 51479 58368 77824 102958 116736 154437 155648 205916 233472 308874 311296 411832 466944 617748 823664 933888 978101 1235496 1647328 1956202 2470992 2934303 3294656 3912404 4941984 5868606 6589312 7824808 9883968 11737212 13178624 15649616 19767936 23474424 26357248 31299232 39535872 46948848 52714496 62598464 79071744 93897696 105428992 125196928 158143488 187795392 210857984 250393856 316286976 375590784 421715968 500787712 632573952 751181568 843431936 1001575424 1265147904 1502363136 2003150848 2530295808 3004726272 4006301696 6009452544 8012603392 12018905088 16025206784 24037810176 48075620352