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48128482240 = 265979531627
BaseRepresentation
bin101100110100101011…
…100101101111000000
311121020011020012220021
4230310223211233000
51242031342412430
634035424223224
73322445230516
oct546453455700
9147204205807
1048128482240
1119458301063
1293b216ab14
1347000cc377
142487d5c4b6
1513ba41107a
hexb34ae5bc0

48128482240 has 112 divisors (see below), whose sum is σ = 115980191712. Its totient is φ = 19021234176.

The previous prime is 48128482223. The next prime is 48128482243. The reversal of 48128482240 is 4228482184.

48128482240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48128482243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29580307 + ... + 29581933.

It is an arithmetic number, because the mean of its divisors is an integer number (1035537426).

Almost surely, 248128482240 is an apocalyptic number.

48128482240 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 48128482240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57990095856).

48128482240 is an abundant number, since it is smaller than the sum of its proper divisors (67851709472).

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

48128482240 is a wasteful number, since it uses less digits than its factorization.

48128482240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2694 (or 2684 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 43.

The spelling of 48128482240 in words is "forty-eight billion, one hundred twenty-eight million, four hundred eighty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 97 160 194 320 388 485 776 953 970 1552 1627 1906 1940 3104 3254 3812 3880 4765 6208 6508 7624 7760 8135 9530 13016 15248 15520 16270 19060 26032 30496 31040 32540 38120 52064 60992 65080 76240 92441 104128 130160 152480 157819 184882 260320 304960 315638 369764 462205 520640 631276 739528 789095 924410 1262552 1479056 1550531 1578190 1848820 2525104 2958112 3101062 3156380 3697640 5050208 5916224 6202124 6312760 7395280 7752655 10100416 12404248 12625520 14790560 15505310 24808496 25251040 29581120 31010620 49616992 50502080 62021240 99233984 124042480 150401507 248084960 300803014 496169920 601606028 752007535 1203212056 1504015070 2406424112 3008030140 4812848224 6016060280 9625696448 12032120560 24064241120 48128482240