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49950216 = 23331761223
BaseRepresentation
bin1011111010001…
…0111000001000
310110222201211000
42332202320020
5100241401331
64542335000
71144366311
oct276427010
9113881730
1049950216
1126217378
121488a460
13a46b854
1468c3608
1545ba0e6
hex2fa2e08

49950216 has 128 divisors (see below), whose sum is σ = 149990400. Its totient is φ = 15344640.

The previous prime is 49950211. The next prime is 49950239. The reversal of 49950216 is 61205994.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (49950211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223881 + ... + 224103.

It is an arithmetic number, because the mean of its divisors is an integer number (1171800).

Almost surely, 249950216 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 49950216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74995200).

49950216 is an abundant number, since it is smaller than the sum of its proper divisors (100040184).

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

49950216 is a wasteful number, since it uses less digits than its factorization.

49950216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 49950216 is about 7067.5466747663. The cubic root of 49950216 is about 368.2808387114.

The spelling of 49950216 in words is "forty-nine million, nine hundred fifty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 61 68 72 102 108 122 136 153 183 204 216 223 244 306 366 408 446 459 488 549 612 669 732 892 918 1037 1098 1224 1338 1464 1647 1784 1836 2007 2074 2196 2676 3111 3294 3672 3791 4014 4148 4392 5352 6021 6222 6588 7582 8028 8296 9333 11373 12042 12444 13176 13603 15164 16056 18666 22746 24084 24888 27206 27999 30328 34119 37332 40809 45492 48168 54412 55998 68238 74664 81618 90984 102357 108824 111996 122427 136476 163236 204714 223992 231251 244854 272952 326472 367281 409428 462502 489708 693753 734562 818856 925004 979416 1387506 1469124 1850008 2081259 2775012 2938248 4162518 5550024 6243777 8325036 12487554 16650072 24975108 49950216