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48131400 = 2335297827
BaseRepresentation
bin1011011110011…
…0110101001000
310100120022212110
42313212311020
544310201100
64435342320
71123052532
oct267466510
9110508773
1048131400
1125194919
12141519a0
139c82a25
14656c852
15435b250
hex2de6d48

48131400 has 96 divisors (see below), whose sum is σ = 150927840. Its totient is φ = 12687360.

The previous prime is 48131399. The next prime is 48131411. The reversal of 48131400 is 413184.

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, 57787 + ... + 58613.

It is an arithmetic number, because the mean of its divisors is an integer number (1572165).

Almost surely, 248131400 is an apocalyptic number.

48131400 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 48131400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75463920).

48131400 is an abundant number, since it is smaller than the sum of its proper divisors (102796440).

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

48131400 is a wasteful number, since it uses less digits than its factorization.

48131400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 48131400 is about 6937.6797274017. The cubic root of 48131400 is about 363.7554409266.

Adding to 48131400 its reverse (413184), we get a palindrome (48544584).

The spelling of 48131400 in words is "forty-eight million, one hundred thirty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 97 100 120 150 194 200 291 300 388 485 582 600 776 827 970 1164 1455 1654 1940 2328 2425 2481 2910 3308 3880 4135 4850 4962 5820 6616 7275 8270 9700 9924 11640 12405 14550 16540 19400 19848 20675 24810 29100 33080 41350 49620 58200 62025 80219 82700 99240 124050 160438 165400 240657 248100 320876 401095 481314 496200 641752 802190 962628 1203285 1604380 1925256 2005475 2406570 3208760 4010950 4813140 6016425 8021900 9626280 12032850 16043800 24065700 48131400