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48828312 = 23331317389
BaseRepresentation
bin1011101001000…
…0111110011000
310101212201212000
42322100332120
5100000001222
64502321000
71132014411
oct272207630
9111781760
1048828312
1125620485
1214429160
13a167cc0
1466b0808
1544479ac
hex2e90f98

48828312 has 64 divisors (see below), whose sum is σ = 146076000. Its totient is φ = 15023232.

The previous prime is 48828293. The next prime is 48828331. The reversal of 48828312 is 21382884.

It is a happy number.

48828312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48828293) and next prime (48828331).

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

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 15.

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 15 ways as a sum of consecutive naturals, for example, 5887 + ... + 11502.

Almost surely, 248828312 is an apocalyptic number.

It is an amenable number.

48828312 is an abundant number, since it is smaller than the sum of its proper divisors (97247688).

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

48828312 is a wasteful number, since it uses less digits than its factorization.

48828312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17417 (or 17407 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 48828312 is about 6987.7258103048. The cubic root of 48828312 is about 365.5026838713.

The spelling of 48828312 in words is "forty-eight million, eight hundred twenty-eight thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 17389 34778 52167 69556 104334 139112 156501 208668 226057 313002 417336 452114 469503 626004 678171 904228 939006 1252008 1356342 1808456 1878012 2034513 2712684 3756024 4069026 5425368 6103539 8138052 12207078 16276104 24414156 48828312