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49019904 = 21035197
BaseRepresentation
bin1011101011111…
…1110000000000
310102020110200000
42322333300000
5100022114104
64510400000
71133443113
oct272776000
9112213600
1049019904
112574141a
1214500000
13a20427b
14672057a
154484639
hex2ebfc00

49019904 has 132 divisors (see below), whose sum is σ = 147531384. Its totient is φ = 16257024.

The previous prime is 49019903. The next prime is 49019909. The reversal of 49019904 is 40991094.

49019904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49019903) 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 11 ways as a sum of consecutive naturals, for example, 248734 + ... + 248930.

It is an arithmetic number, because the mean of its divisors is an integer number (1117662).

Almost surely, 249019904 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 49019904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73765692).

49019904 is an abundant number, since it is smaller than the sum of its proper divisors (98511480).

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

49019904 is an equidigital number, since it uses as much as digits as its factorization.

49019904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 49019904 is about 7001.4215699385. The cubic root of 49019904 is about 365.9801117922.

The spelling of 49019904 in words is "forty-nine million, nineteen thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 197 216 243 256 288 324 384 394 432 486 512 576 591 648 768 788 864 972 1024 1152 1182 1296 1536 1576 1728 1773 1944 2304 2364 2592 3072 3152 3456 3546 3888 4608 4728 5184 5319 6304 6912 7092 7776 9216 9456 10368 10638 12608 13824 14184 15552 15957 18912 20736 21276 25216 27648 28368 31104 31914 37824 41472 42552 47871 50432 56736 62208 63828 75648 82944 85104 95742 100864 113472 124416 127656 151296 170208 191484 201728 226944 248832 255312 302592 340416 382968 453888 510624 605184 680832 765936 907776 1021248 1361664 1531872 1815552 2042496 2723328 3063744 4084992 5446656 6127488 8169984 12254976 16339968 24509952 49019904