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48629550 = 235219113151
BaseRepresentation
bin1011100110000…
…0011100101110
310101111122012110
42321200130232
544422121200
64454144450
71130226054
oct271403456
9111448173
1048629550
11254a5112
1214352126
13a0c86a8
14665c1d4
154408b50
hex2e6072e

48629550 has 96 divisors (see below), whose sum is σ = 128920320. Its totient is φ = 12096000.

The previous prime is 48629543. The next prime is 48629561. The reversal of 48629550 is 5592684.

48629550 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 48629499 and 48629508.

It is a congruent number.

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, 321975 + ... + 322125.

It is an arithmetic number, because the mean of its divisors is an integer number (1342920).

Almost surely, 248629550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48629550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64460160).

48629550 is an abundant number, since it is smaller than the sum of its proper divisors (80290770).

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

48629550 is a wasteful number, since it uses less digits than its factorization.

48629550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 48629550 is about 6973.4890836654. The cubic root of 48629550 is about 365.0060673289.

The spelling of 48629550 in words is "forty-eight million, six hundred twenty-nine thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 95 113 114 150 151 190 226 285 302 339 453 475 565 570 678 755 906 950 1130 1425 1510 1695 2147 2265 2825 2850 2869 3390 3775 4294 4530 5650 5738 6441 7550 8475 8607 10735 11325 12882 14345 16950 17063 17214 21470 22650 28690 32205 34126 43035 51189 53675 64410 71725 85315 86070 102378 107350 143450 161025 170630 215175 255945 322050 324197 426575 430350 511890 648394 853150 972591 1279725 1620985 1945182 2559450 3241970 4862955 8104925 9725910 16209850 24314775 48629550