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48430536 = 23371173359
BaseRepresentation
bin1011100010111…
…1110111001000
310101010112012120
42320233313020
544344234121
64450011240
71125436620
oct270576710
9111115176
1048430536
1125379640
1214276b20
13a058c2b
146609880
1543b9bc6
hex2e2fdc8

48430536 has 128 divisors (see below), whose sum is σ = 153446400. Its totient is φ = 12372480.

The previous prime is 48430531. The next prime is 48430573. The reversal of 48430536 is 63503484.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 48430497 and 48430506.

It is not an unprimeable number, because it can be changed into a prime (48430531) 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, 134725 + ... + 135083.

It is an arithmetic number, because the mean of its divisors is an integer number (1198800).

Almost surely, 248430536 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 48430536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76723200).

48430536 is an abundant number, since it is smaller than the sum of its proper divisors (105015864).

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

48430536 is a wasteful number, since it uses less digits than its factorization.

48430536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 48430536 is about 6959.2051270242. The cubic root of 48430536 is about 364.5074635167.

The spelling of 48430536 in words is "forty-eight million, four hundred thirty thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 73 77 84 88 132 146 154 168 219 231 264 292 308 359 438 462 511 584 616 718 803 876 924 1022 1077 1436 1533 1606 1752 1848 2044 2154 2409 2513 2872 3066 3212 3949 4088 4308 4818 5026 5621 6132 6424 7539 7898 8616 9636 10052 11242 11847 12264 15078 15796 16863 19272 20104 22484 23694 26207 27643 30156 31592 33726 44968 47388 52414 55286 60312 67452 78621 82929 94776 104828 110572 134904 157242 165858 183449 209656 221144 288277 314484 331716 366898 550347 576554 628968 663432 733796 864831 1100694 1153108 1467592 1729662 2017939 2201388 2306216 3459324 4035878 4402776 6053817 6918648 8071756 12107634 16143512 24215268 48430536