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48524328 = 23321979449
BaseRepresentation
bin1011100100011…
…0110000101000
310101022021212100
42321012300220
544410234303
64452013400
71126310226
oct271066050
9111267770
1048524328
1125433056
1214301260
13a08c828
146631b16
1543d78a3
hex2e46c28

48524328 has 96 divisors (see below), whose sum is σ = 140400000. Its totient is φ = 15095808.

The previous prime is 48524327. The next prime is 48524369. The reversal of 48524328 is 82342584.

It is a super-2 number, since 2×485243282 = 4709220815703168, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 48524292 and 48524301.

It is not an unprimeable number, because it can be changed into a prime (48524323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107848 + ... + 108296.

It is an arithmetic number, because the mean of its divisors is an integer number (1462500).

Almost surely, 248524328 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 48524328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70200000).

48524328 is an abundant number, since it is smaller than the sum of its proper divisors (91875672).

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

48524328 is a wasteful number, since it uses less digits than its factorization.

48524328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 552 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 48524328 is about 6965.9405682219. The cubic root of 48524328 is about 364.7426170706.

It can be divided in two parts, 4852 and 4328, that added together give a triangular number (9180 = T135).

The spelling of 48524328 in words is "forty-eight million, five hundred twenty-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 79 114 152 158 171 228 237 316 342 449 456 474 632 684 711 898 948 1347 1368 1422 1501 1796 1896 2694 2844 3002 3592 4041 4503 5388 5688 6004 8082 8531 9006 10776 12008 13509 16164 17062 18012 25593 27018 32328 34124 35471 36024 51186 54036 68248 70942 76779 102372 106413 108072 141884 153558 204744 212826 283768 307116 319239 425652 614232 638478 673949 851304 1276956 1347898 2021847 2553912 2695796 4043694 5391592 6065541 8087388 12131082 16174776 24262164 48524328