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48045133400 = 23521124190617
BaseRepresentation
bin101100101111101101…
…101000111001011000
311121000100101122210012
4230233231220321120
51241344023232100
634023245541052
73320413616135
oct545755507130
9147010348705
1048045133400
1119415252920
12938a274788
1346b8a68924
14247ac6358c
1513b2e4a135
hexb2fb68e58

48045133400 has 96 divisors (see below), whose sum is σ = 122366922480. Its totient is φ = 17398272000.

The previous prime is 48045133387. The next prime is 48045133417. The reversal of 48045133400 is 433154084.

It is a congruent number.

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, 484892 + ... + 575508.

Almost surely, 248045133400 is an apocalyptic number.

48045133400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48045133400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61183461240).

48045133400 is an abundant number, since it is smaller than the sum of its proper divisors (74321789080).

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

48045133400 is a wasteful number, since it uses less digits than its factorization.

48045133400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90885 (or 90876 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 48045133400 its reverse (433154084), we get a palindrome (48478287484).

The spelling of 48045133400 in words is "forty-eight billion, forty-five million, one hundred thirty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 241 275 440 482 550 964 1100 1205 1928 2200 2410 2651 4820 5302 6025 9640 10604 12050 13255 21208 24100 26510 48200 53020 66275 90617 106040 132550 181234 265100 362468 453085 530200 724936 906170 996787 1812340 1993574 2265425 3624680 3987148 4530850 4983935 7974296 9061700 9967870 18123400 19935740 21838697 24919675 39871480 43677394 49839350 87354788 99678700 109193485 174709576 199357400 218386970 240225667 436773940 480451334 545967425 873547880 960902668 1091934850 1201128335 1921805336 2183869700 2402256670 4367739400 4804513340 6005641675 9609026680 12011283350 24022566700 48045133400