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48897984 = 2631771211
BaseRepresentation
bin1011101010000…
…1111111000000
310102000021102110
42322201333000
5100004213414
64504015320
71132424502
oct272417700
9112007373
1048897984
1125668863
1214461540
13a190925
1466cbd72
15445d459
hex2ea1fc0

48897984 has 112 divisors (see below), whose sum is σ = 139574016. Its totient is φ = 15052800.

The previous prime is 48897983. The next prime is 48898021. The reversal of 48897984 is 48979884.

48897984 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 not an unprimeable number, because it can be changed into a prime (48897983) 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, 231639 + ... + 231849.

Almost surely, 248897984 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 48897984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69787008).

48897984 is an abundant number, since it is smaller than the sum of its proper divisors (90676032).

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

48897984 is a wasteful number, since it uses less digits than its factorization.

48897984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 304 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 57.

The square root of 48897984 is about 6992.7093461691. The cubic root of 48897984 is about 365.6764437221.

It can be divided in two parts, 4 and 8897984, that added together give a palindrome (8897988).

The spelling of 48897984 in words is "forty-eight million, eight hundred ninety-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 71 96 102 136 142 192 204 211 213 272 284 408 422 426 544 568 633 816 844 852 1088 1136 1207 1266 1632 1688 1704 2272 2414 2532 3264 3376 3408 3587 3621 4544 4828 5064 6752 6816 7174 7242 9656 10128 10761 13504 13632 14348 14484 14981 19312 20256 21522 28696 28968 29962 38624 40512 43044 44943 57392 57936 59924 77248 86088 89886 114784 115872 119848 172176 179772 229568 231744 239696 254677 344352 359544 479392 509354 688704 719088 764031 958784 1018708 1438176 1528062 2037416 2876352 3056124 4074832 6112248 8149664 12224496 16299328 24448992 48897984