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48346920 = 23325235839
BaseRepresentation
bin1011100001101…
…1011100101000
310100222021111200
42320123130220
544334100140
64444124200
71124641056
oct270333450
9110867450
1048346920
1125321836
1214236660
13a029b5b
1465c71d6
1543a0030
hex2e1b728

48346920 has 96 divisors (see below), whose sum is σ = 163987200. Its totient is φ = 12329856.

The previous prime is 48346891. The next prime is 48346927. The reversal of 48346920 is 2964384.

It is a happy number.

48346920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (48346927) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5361 + ... + 11199.

It is an arithmetic number, because the mean of its divisors is an integer number (1708200).

Almost surely, 248346920 is an apocalyptic number.

48346920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48346920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81993600).

48346920 is an abundant number, since it is smaller than the sum of its proper divisors (115640280).

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

48346920 is a wasteful number, since it uses less digits than its factorization.

48346920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5879 (or 5872 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 48346920 is about 6953.1949490864. The cubic root of 48346920 is about 364.2975669236.

The spelling of 48346920 in words is "forty-eight million, three hundred forty-six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 552 690 828 920 1035 1380 1656 2070 2760 4140 5839 8280 11678 17517 23356 29195 35034 46712 52551 58390 70068 87585 105102 116780 134297 140136 175170 210204 233560 262755 268594 350340 402891 420408 525510 537188 671485 700680 805782 1051020 1074376 1208673 1342970 1611564 2014455 2102040 2417346 2685940 3223128 4028910 4834692 5371880 6043365 8057820 9669384 12086730 16115640 24173460 48346920