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48879828 = 22331779337
BaseRepresentation
bin1011101001110…
…1100011010100
310101222100112000
42322131203110
5100003123303
64503355300
71132320534
oct272354324
9111870460
1048879828
1125656158
1214452b30
13a18559a
1466c54c4
154457da3
hex2e9d8d4

48879828 has 96 divisors (see below), whose sum is σ = 136281600. Its totient is φ = 15095808.

The previous prime is 48879827. The next prime is 48879829. The reversal of 48879828 is 82897884.

It is an interprime number because it is at equal distance from previous prime (48879827) and next prime (48879829).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48879823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144876 + ... + 145212.

It is an arithmetic number, because the mean of its divisors is an integer number (1419600).

Almost surely, 248879828 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 48879828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68140800).

48879828 is an abundant number, since it is smaller than the sum of its proper divisors (87401772).

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

48879828 is a wasteful number, since it uses less digits than its factorization.

48879828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 438 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 54.

The square root of 48879828 is about 6991.4110163829. The cubic root of 48879828 is about 365.6311791198.

The spelling of 48879828 in words is "forty-eight million, eight hundred seventy-nine thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 79 102 108 153 158 204 237 306 316 337 459 474 612 674 711 918 948 1011 1343 1348 1422 1836 2022 2133 2686 2844 3033 4029 4044 4266 5372 5729 6066 8058 8532 9099 11458 12087 12132 16116 17187 18198 22916 24174 26623 34374 36261 36396 48348 51561 53246 68748 72522 79869 103122 106492 145044 154683 159738 206244 239607 309366 319476 452591 479214 618732 718821 905182 958428 1357773 1437642 1810364 2715546 2875284 4073319 5431092 8146638 12219957 16293276 24439914 48879828