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48418000240 = 2456717535153
BaseRepresentation
bin101101000101111100…
…000000110101110000
311121222100000020221011
4231011330000311300
51243130002001430
634124245440304
73332562132361
oct550574006560
9147870006834
1048418000240
1119596776235
129473110094
13474809a0ac
1424b45a3b68
1513d5a4e22a
hexb45f00d70

48418000240 has 80 divisors (see below), whose sum is σ = 114339387168. Its totient is φ = 19063554048.

The previous prime is 48418000231. The next prime is 48418000259. The reversal of 48418000240 is 4200081484.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9393504 + ... + 9398656.

Almost surely, 248418000240 is an apocalyptic number.

48418000240 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 48418000240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57169693584).

48418000240 is an abundant number, since it is smaller than the sum of its proper divisors (65921386928).

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

48418000240 is a wasteful number, since it uses less digits than its factorization.

48418000240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6986 (or 6980 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 31.

The spelling of 48418000240 in words is "forty-eight billion, four hundred eighteen million, two hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 670 1072 1340 1753 2680 3506 5153 5360 7012 8765 10306 14024 17530 20612 25765 28048 35060 41224 51530 70120 82448 103060 117451 140240 206120 234902 345251 412240 469804 587255 690502 939608 1174510 1381004 1726255 1879216 2349020 2762008 3452510 4698040 5524016 6905020 9033209 9396080 13810040 18066418 27620080 36132836 45166045 72265672 90332090 144531344 180664180 361328360 605225003 722656720 1210450006 2420900012 3026125015 4841800024 6052250030 9683600048 12104500060 24209000120 48418000240