Search a number
-
+
48908734416 = 243579159233
BaseRepresentation
bin101101100011001100…
…000000111111010000
311200020112102010200000
4231203030000333100
51300131114000131
634245055530000
73351001245303
oct554314007720
9150215363600
1048908734416
1119818784073
12958b529900
1347c5959849
14251d826b3a
151413b86ce6
hexb63300fd0

48908734416 has 120 divisors (see below), whose sum is σ = 143743716480. Its totient is φ = 16096444416.

The previous prime is 48908734403. The next prime is 48908734421. The reversal of 48908734416 is 61443780984.

48908734416 is a `hidden beast` number, since 48 + 90 + 8 + 73 + 441 + 6 = 666.

It is a super-2 number, since 2×489087344162 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 227536 + ... + 386768.

It is an arithmetic number, because the mean of its divisors is an integer number (1197864304).

Almost surely, 248908734416 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 48908734416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71871858240).

48908734416 is an abundant number, since it is smaller than the sum of its proper divisors (94834982064).

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

48908734416 is a wasteful number, since it uses less digits than its factorization.

48908734416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159335 (or 159317 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 48908734416 in words is "forty-eight billion, nine hundred eight million, seven hundred thirty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 79 81 108 144 158 162 216 237 243 316 324 432 474 486 632 648 711 948 972 1264 1296 1422 1896 1944 2133 2844 3792 3888 4266 5688 6399 8532 11376 12798 17064 19197 25596 34128 38394 51192 76788 102384 153576 159233 307152 318466 477699 636932 955398 1273864 1433097 1910796 2547728 2866194 3821592 4299291 5732388 7643184 8598582 11464776 12579407 12897873 17197164 22929552 25158814 25795746 34394328 37738221 38693619 50317628 51591492 68788656 75476442 77387238 100635256 103182984 113214663 150952884 154774476 201270512 206365968 226429326 301905768 309548952 339643989 452858652 603811536 619097904 679287978 905717304 1018931967 1358575956 1811434608 2037863934 2717151912 3056795901 4075727868 5434303824 6113591802 8151455736 12227183604 16302911472 24454367208 48908734416