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424171152 = 243223891439
BaseRepresentation
bin11001010010000…
…101011010010000
31002120011010102200
4121102011122100
51332041434102
6110031243200
713340252406
oct3122053220
91076133380
10424171152
111a8485079
12ba079500
1369b55462
1440497476
152738a51c
hex19485690

424171152 has 120 divisors (see below), whose sum is σ = 1253491200. Its totient is φ = 133630464.

The previous prime is 424171133. The next prime is 424171157. The reversal of 424171152 is 251171424.

It is not an unprimeable number, because it can be changed into a prime (424171157) 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, 294049 + ... + 295487.

It is an arithmetic number, because the mean of its divisors is an integer number (10445760).

Almost surely, 2424171152 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 424171152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626745600).

424171152 is an abundant number, since it is smaller than the sum of its proper divisors (829320048).

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

424171152 is a wasteful number, since it uses less digits than its factorization.

424171152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565 (or 1556 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 424171152 is about 20595.4158006096. The cubic root of 424171152 is about 751.3582214944.

The spelling of 424171152 in words is "four hundred twenty-four million, one hundred seventy-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 89 92 138 144 178 184 207 267 276 356 368 414 534 552 712 801 828 1068 1104 1424 1439 1602 1656 2047 2136 2878 3204 3312 4094 4272 4317 5756 6141 6408 8188 8634 11512 12282 12816 12951 16376 17268 18423 23024 24564 25902 32752 33097 34536 36846 49128 51804 66194 69072 73692 98256 99291 103608 128071 132388 147384 198582 207216 256142 264776 294768 297873 384213 397164 512284 529552 595746 768426 794328 1024568 1152639 1191492 1536852 1588656 2049136 2305278 2382984 2945633 3073704 4610556 4765968 5891266 6147408 8836899 9221112 11782532 17673798 18442224 23565064 26510697 35347596 47130128 53021394 70695192 106042788 141390384 212085576 424171152