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48933949600 = 25521311732699
BaseRepresentation
bin101101100100101100…
…001101000010100000
311200022021212012101201
4231210230031002200
51300204042341400
634251400210544
73351425465044
oct554454150240
9150267765351
1048933949600
1119830a36668
129597a69a54
1347cac47983
142522d0c024
151415eb806a
hexb64b0d0a0

48933949600 has 144 divisors (see below), whose sum is σ = 121112560800. Its totient is φ = 19304729600.

The previous prime is 48933949573. The next prime is 48933949661. The reversal of 48933949600 is 694933984.

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, 18129051 + ... + 18131749.

It is an arithmetic number, because the mean of its divisors is an integer number (841059450).

Almost surely, 248933949600 is an apocalyptic number.

48933949600 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 48933949600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60556280400).

48933949600 is an abundant number, since it is smaller than the sum of its proper divisors (72178611200).

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

48933949600 is a wasteful number, since it uses less digits than its factorization.

48933949600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3023 (or 3010 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 55.

The spelling of 48933949600 in words is "forty-eight billion, nine hundred thirty-three million, nine hundred forty-nine thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 131 160 173 200 262 346 400 524 655 692 800 865 1048 1310 1384 1730 2096 2620 2699 2768 3275 3460 4192 4325 5240 5398 5536 6550 6920 8650 10480 10796 13100 13495 13840 17300 20960 21592 22663 26200 26990 27680 34600 43184 45326 52400 53980 67475 69200 86368 90652 104800 107960 113315 134950 138400 181304 215920 226630 269900 353569 362608 431840 453260 466927 539800 566575 707138 725216 906520 933854 1079600 1133150 1414276 1767845 1813040 1867708 2159200 2266300 2334635 2828552 3535690 3626080 3735416 4532600 4669270 5657104 7071380 7470832 8839225 9065200 9338540 11314208 11673175 14142760 14941664 17678450 18130400 18677080 23346350 28285520 35356900 37354160 46692700 56571040 61167437 70713800 74708320 93385400 122334874 141427600 186770800 244669748 282855200 305837185 373541600 489339496 611674370 978678992 1223348740 1529185925 1957357984 2446697480 3058371850 4893394960 6116743700 9786789920 12233487400 24466974800 48933949600