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48340032 = 26313107181
BaseRepresentation
bin1011100001100…
…1110001000000
310100221221001120
42320121301000
544333340112
64444032240
71124612016
oct270316100
9110857046
1048340032
1125317644
1214232680
13a026990
1465c48b6
15439ce8c
hex2e19c40

48340032 has 112 divisors (see below), whose sum is σ = 139793472. Its totient is φ = 14653440.

The previous prime is 48340007. The next prime is 48340049. The reversal of 48340032 is 23004384.

It is a super-2 number, since 2×483400322 = 4673517387522048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 48339984 and 48340011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 266982 + ... + 267162.

It is an arithmetic number, because the mean of its divisors is an integer number (1248156).

Almost surely, 248340032 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 48340032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69896736).

48340032 is an abundant number, since it is smaller than the sum of its proper divisors (91453440).

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

48340032 is a wasteful number, since it uses less digits than its factorization.

48340032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 48340032 is about 6952.6996195722. The cubic root of 48340032 is about 364.2802655746.

The spelling of 48340032 in words is "forty-eight million, three hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 107 156 181 192 208 214 312 321 362 416 428 543 624 642 724 832 856 1086 1248 1284 1391 1448 1712 2172 2353 2496 2568 2782 2896 3424 4173 4344 4706 5136 5564 5792 6848 7059 8346 8688 9412 10272 11128 11584 14118 16692 17376 18824 19367 20544 22256 28236 33384 34752 37648 38734 44512 56472 58101 66768 75296 77468 89024 112944 116202 133536 150592 154936 225888 232404 251771 267072 309872 451776 464808 503542 619744 755313 929616 1007084 1239488 1510626 1859232 2014168 3021252 3718464 4028336 6042504 8056672 12085008 16113344 24170016 48340032