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48325452384 = 25311216325523
BaseRepresentation
bin101101000000011010…
…111110001001100000
311121201212212100010210
4231000122332021200
51242432303434014
634111142054120
73330356365506
oct550032761140
9147655770123
1048325452384
1119549504700
12944811a340
134731b65551
1424a6192676
1513cc86c859
hexb406be260

48325452384 has 144 divisors (see below), whose sum is σ = 140295830976. Its totient is φ = 14553665280.

The previous prime is 48325452377. The next prime is 48325452431.

48325452384 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1880647 + ... + 1906169.

It is an arithmetic number, because the mean of its divisors is an integer number (974276604).

Almost surely, 248325452384 is an apocalyptic number.

48325452384 is a gapful number since it is divisible by the number (44) 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 48325452384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70147915488).

48325452384 is an abundant number, since it is smaller than the sum of its proper divisors (91970378592).

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

48325452384 is a wasteful number, since it uses less digits than its factorization.

48325452384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25721 (or 25702 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 48.

The spelling of 48325452384 in words is "forty-eight billion, three hundred twenty-five million, four hundred fifty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 163 176 242 264 326 352 363 484 489 528 652 726 968 978 1056 1304 1452 1793 1936 1956 2608 2904 3586 3872 3912 5216 5379 5808 7172 7824 10758 11616 14344 15648 19723 21516 25523 28688 39446 43032 51046 57376 59169 76569 78892 86064 102092 118338 153138 157784 172128 204184 236676 280753 306276 315568 408368 473352 561506 612552 631136 816736 842259 946704 1123012 1225104 1684518 1893408 2246024 2450208 3088283 3369036 4160249 4492048 6176566 6738072 8320498 8984096 9264849 12353132 12480747 13476144 16640996 18529698 24706264 24961494 26952288 33281992 37059396 45762739 49412528 49922988 66563984 74118792 91525478 98825056 99845976 133127968 137288217 148237584 183050956 199691952 274576434 296475168 366101912 399383904 503390129 549152868 732203824 1006780258 1098305736 1464407648 1510170387 2013560516 2196611472 3020340774 4027121032 4393222944 6040681548 8054242064 12081363096 16108484128 24162726192 48325452384