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48572367040 = 265487311681
BaseRepresentation
bin101101001111001000…
…111000000011000000
311122101002110220101001
4231033020320003000
51243434011221130
634151442221344
73336445210351
oct551710700300
9148332426331
1048572367040
11196659202aa
1294b6954854
1347710677b2
1424caca7d28
1513e43926ca
hexb4f2380c0

48572367040 has 56 divisors (see below), whose sum is σ = 115900821792. Its totient is φ = 19388989440.

The previous prime is 48572367029. The next prime is 48572367047. The reversal of 48572367040 is 4076327584.

48572367040 is a nontrivial binomial coefficient, being equal to C(311681, 2).

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (48572367047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1 + ... + 311680.

It is an arithmetic number, because the mean of its divisors is an integer number (2069657532).

Almost surely, 248572367040 is an apocalyptic number.

48572367040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

48572367040 is the 311680-th triangular number.

48572367040 is the 103894-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48572367040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57950410896).

48572367040 is an abundant number, since it is smaller than the sum of its proper divisors (67328454752).

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

48572367040 is a wasteful number, since it uses less digits than its factorization.

48572367040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312185 (or 312175 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 46.

The spelling of 48572367040 in words is "forty-eight billion, five hundred seventy-two million, three hundred sixty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 487 974 1948 2435 3896 4870 7792 9740 15584 19480 31168 38960 77920 155840 311681 623362 1246724 1558405 2493448 3116810 4986896 6233620 9973792 12467240 19947584 24934480 49868960 99737920 151788647 303577294 607154588 758943235 1214309176 1517886470 2428618352 3035772940 4857236704 6071545880 9714473408 12143091760 24286183520 48572367040