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48631500 = 223253101107
BaseRepresentation
bin1011100110000…
…0111011001100
310101111201212200
42321200323030
544422202000
64454201500
71130234541
oct271407314
9111451780
1048631500
11254a6625
1214353290
13a0c9548
14665cbc8
154409500
hex2e60ecc

48631500 has 144 divisors (see below), whose sum is σ = 156383136. Its totient is φ = 12720000.

The previous prime is 48631493. The next prime is 48631519. The reversal of 48631500 is 513684.

48631500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 454447 + ... + 454553.

It is an arithmetic number, because the mean of its divisors is an integer number (1085994).

Almost surely, 248631500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48631500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78191568).

48631500 is an abundant number, since it is smaller than the sum of its proper divisors (107751636).

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

48631500 is a wasteful number, since it uses less digits than its factorization.

48631500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 48631500 is about 6973.6288974966. The cubic root of 48631500 is about 365.0109460657.

The spelling of 48631500 in words is "forty-eight million, six hundred thirty-one thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 101 107 125 150 180 202 214 225 250 300 303 321 375 404 428 450 500 505 535 606 642 750 900 909 963 1010 1070 1125 1212 1284 1500 1515 1605 1818 1926 2020 2140 2250 2525 2675 3030 3210 3636 3852 4500 4545 4815 5050 5350 6060 6420 7575 8025 9090 9630 10100 10700 10807 12625 13375 15150 16050 18180 19260 21614 22725 24075 25250 26750 30300 32100 32421 37875 40125 43228 45450 48150 50500 53500 54035 64842 75750 80250 90900 96300 97263 108070 113625 120375 129684 151500 160500 162105 194526 216140 227250 240750 270175 324210 389052 454500 481500 486315 540350 648420 810525 972630 1080700 1350875 1621050 1945260 2431575 2701750 3242100 4052625 4863150 5403500 8105250 9726300 12157875 16210500 24315750 48631500