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49916352 = 2631741373
BaseRepresentation
bin1011111001101…
…0100111000000
310110221000100210
42332122213000
5100234310402
64541514120
71144165503
oct276324700
9113830323
1049916352
11261a3992
1214872940
13a459305
1468b513a
1545b006c
hex2f9a9c0

49916352 has 112 divisors (see below), whose sum is σ = 143633952. Its totient is φ = 15237120.

The previous prime is 49916333. The next prime is 49916357. The reversal of 49916352 is 25361994.

49916352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 49916352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49916357) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 133638 + ... + 134010.

It is an arithmetic number, because the mean of its divisors is an integer number (1282446).

Almost surely, 249916352 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 49916352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71816976).

49916352 is an abundant number, since it is smaller than the sum of its proper divisors (93717600).

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

49916352 is a wasteful number, since it uses less digits than its factorization.

49916352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 436 counting only the distinct ones).

The product of its digits is 58320, while the sum is 39.

The square root of 49916352 is about 7065.1505291820. The cubic root of 49916352 is about 368.1975939479.

The spelling of 49916352 in words is "forty-nine million, nine hundred sixteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 41 48 51 64 68 82 96 102 123 136 164 192 204 246 272 328 373 408 492 544 656 697 746 816 984 1088 1119 1312 1394 1492 1632 1968 2091 2238 2624 2788 2984 3264 3936 4182 4476 5576 5968 6341 7872 8364 8952 11152 11936 12682 15293 16728 17904 19023 22304 23872 25364 30586 33456 35808 38046 44608 45879 50728 61172 66912 71616 76092 91758 101456 122344 133824 152184 183516 202912 244688 259981 304368 367032 405824 489376 519962 608736 734064 779943 978752 1039924 1217472 1468128 1559886 2079848 2936256 3119772 4159696 6239544 8319392 12479088 16638784 24958176 49916352