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49711968 = 25362131
BaseRepresentation
bin1011110110100…
…0101101100000
310110112122000000
42331220231200
5100211240333
64533300000
71142354565
oct275505540
9113478000
1049711968
1126074379
1214794600
13a3b7287
14686086c
15456e713
hex2f68b60

49711968 has 84 divisors (see below), whose sum is σ = 146807388. Its totient is φ = 16562880.

The previous prime is 49711951. The next prime is 49711973. The reversal of 49711968 is 86911794.

It is a happy number.

49711968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 13 ways as a sum of consecutive naturals, for example, 22263 + ... + 24393.

It is an arithmetic number, because the mean of its divisors is an integer number (1747707).

Almost surely, 249711968 is an apocalyptic number.

49711968 is a gapful number since it is divisible by the number (48) 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 49711968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73403694).

49711968 is an abundant number, since it is smaller than the sum of its proper divisors (97095420).

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

49711968 is an equidigital number, since it uses as much as digits as its factorization.

49711968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2159 (or 2136 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 49711968 is about 7050.6714573862. The cubic root of 49711968 is about 367.6943744764.

The spelling of 49711968 in words is "forty-nine million, seven hundred eleven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2131 2592 2916 3888 4262 5832 6393 7776 8524 11664 12786 17048 19179 23328 25572 34096 38358 51144 57537 68192 76716 102288 115074 153432 172611 204576 230148 306864 345222 460296 517833 613728 690444 920592 1035666 1380888 1553499 1841184 2071332 2761776 3106998 4142664 5523552 6213996 8285328 12427992 16570656 24855984 49711968