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48155400 = 23325231863
BaseRepresentation
bin1011011110110…
…0101100001000
310100121112210100
42313230230020
544311433100
64440045400
71123212516
oct267545410
9110545710
1048155400
1125200957
1214163860
139c90927
1465774b6
154363400
hex2decb08

48155400 has 144 divisors (see below), whose sum is σ = 167132160. Its totient is φ = 12412800.

The previous prime is 48155347. The next prime is 48155411. The reversal of 48155400 is 455184.

48155400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 55369 + ... + 56231.

It is an arithmetic number, because the mean of its divisors is an integer number (1160640).

Almost surely, 248155400 is an apocalyptic number.

48155400 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 48155400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83566080).

48155400 is an abundant number, since it is smaller than the sum of its proper divisors (118976760).

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

48155400 is a wasteful number, since it uses less digits than its factorization.

48155400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 48155400 is about 6939.4091967544. The cubic root of 48155400 is about 363.8158912767.

The spelling of 48155400 in words is "forty-eight million, one hundred fifty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 31 36 40 45 50 60 62 72 75 90 93 100 120 124 150 155 180 186 200 225 248 279 300 310 360 372 450 465 558 600 620 744 775 863 900 930 1116 1240 1395 1550 1726 1800 1860 2232 2325 2589 2790 3100 3452 3720 4315 4650 5178 5580 6200 6904 6975 7767 8630 9300 10356 11160 12945 13950 15534 17260 18600 20712 21575 25890 26753 27900 31068 34520 38835 43150 51780 53506 55800 62136 64725 77670 80259 86300 103560 107012 129450 133765 155340 160518 172600 194175 214024 240777 258900 267530 310680 321036 388350 401295 481554 517800 535060 642072 668825 776700 802590 963108 1070120 1203885 1337650 1553400 1605180 1926216 2006475 2407770 2675300 3210360 4012950 4815540 5350600 6019425 8025900 9631080 12038850 16051800 24077700 48155400