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161440048 = 24711592221
BaseRepresentation
bin10011001111101…
…10000100110000
3102020210000010001
421213312010300
5312312040143
624004115344
74000134460
oct1147660460
9366700101
10161440048
1183146330
1246095b54
13275a6073
1417625ba0
15e28e14d
hex99f6130

161440048 has 80 divisors (see below), whose sum is σ = 396760320. Its totient is φ = 61804800.

The previous prime is 161440031. The next prime is 161440073. The reversal of 161440048 is 840044161.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 161439998 and 161440025.

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, 71578 + ... + 73798.

It is an arithmetic number, because the mean of its divisors is an integer number (4959504).

Almost surely, 2161440048 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 161440048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198380160).

161440048 is an abundant number, since it is smaller than the sum of its proper divisors (235320272).

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

161440048 is a wasteful number, since it uses less digits than its factorization.

161440048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2306 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 161440048 is about 12705.9060283004. The cubic root of 161440048 is about 544.5073661864.

The spelling of 161440048 in words is "one hundred sixty-one million, four hundred forty thousand, forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 59 77 88 112 118 154 176 236 308 413 472 616 649 826 944 1232 1298 1652 2221 2596 3304 4442 4543 5192 6608 8884 9086 10384 15547 17768 18172 24431 31094 35536 36344 48862 62188 72688 97724 124376 131039 171017 195448 248752 262078 342034 390896 524156 684068 917273 1048312 1368136 1441429 1834546 2096624 2736272 2882858 3669092 5765716 7338184 10090003 11531432 14676368 20180006 23062864 40360012 80720024 161440048