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48246880 = 2551179347
BaseRepresentation
bin1011100000001…
…1000001100000
310100210012021111
42320003001200
544322400010
64442033104
71124043313
oct270030140
9110705244
1048246880
1125263660
12141a8794
139cc3466
14659c97a
15438058a
hex2e03060

48246880 has 96 divisors (see below), whose sum is σ = 126282240. Its totient is φ = 17272320.

The previous prime is 48246839. The next prime is 48246889. The reversal of 48246880 is 8864284.

It is a super-2 number, since 2×482468802 = 4655522859468800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48246889) 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, 138867 + ... + 139213.

It is an arithmetic number, because the mean of its divisors is an integer number (1315440).

Almost surely, 248246880 is an apocalyptic number.

48246880 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 48246880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63141120).

48246880 is an abundant number, since it is smaller than the sum of its proper divisors (78035360).

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

48246880 is a wasteful number, since it uses less digits than its factorization.

48246880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The square root of 48246880 is about 6945.9974085800. The cubic root of 48246880 is about 364.0461238497.

The spelling of 48246880 in words is "forty-eight million, two hundred forty-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 79 80 88 110 158 160 176 220 316 347 352 395 440 632 694 790 869 880 1264 1388 1580 1735 1738 1760 2528 2776 3160 3470 3476 3817 4345 5552 6320 6940 6952 7634 8690 11104 12640 13880 13904 15268 17380 19085 27413 27760 27808 30536 34760 38170 54826 55520 61072 69520 76340 109652 122144 137065 139040 152680 219304 274130 301543 305360 438608 548260 603086 610720 877216 1096520 1206172 1507715 2193040 2412344 3015430 4386080 4824688 6030860 9649376 12061720 24123440 48246880