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48235440 = 2435113151
BaseRepresentation
bin1011100000000…
…0001110110000
310100202121120210
42320000032300
544322013230
64441504120
71123665051
oct270001660
9110677523
1048235440
1125256000
12141a2040
139cbb1a6
146598728
15437beb0
hex2e003b0

48235440 has 160 divisors (see below), whose sum is σ = 165560832. Its totient is φ = 11616000.

The previous prime is 48235399. The next prime is 48235441. The reversal of 48235440 is 4453284.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 48235398 and 48235407.

It is not an unprimeable number, because it can be changed into a prime (48235441) 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, 319365 + ... + 319515.

Almost surely, 248235440 is an apocalyptic number.

48235440 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 48235440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82780416).

48235440 is an abundant number, since it is smaller than the sum of its proper divisors (117325392).

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

48235440 is a wasteful number, since it uses less digits than its factorization.

48235440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 48235440 is about 6945.1738639144. The cubic root of 48235440 is about 364.0173481246.

The spelling of 48235440 in words is "forty-eight million, two hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 121 132 151 165 176 220 240 242 264 302 330 363 440 453 484 528 604 605 660 726 755 880 906 968 1208 1210 1320 1331 1452 1510 1661 1812 1815 1936 2265 2416 2420 2640 2662 2904 3020 3322 3624 3630 3993 4530 4840 4983 5324 5808 6040 6644 6655 7248 7260 7986 8305 9060 9680 9966 10648 12080 13288 13310 14520 15972 16610 18120 18271 19932 19965 21296 24915 26576 26620 29040 31944 33220 36240 36542 39864 39930 49830 53240 54813 63888 66440 73084 79728 79860 91355 99660 106480 109626 132880 146168 159720 182710 199320 200981 219252 274065 292336 319440 365420 398640 401962 438504 548130 602943 730840 803924 877008 1004905 1096260 1205886 1461680 1607848 2009810 2192520 2411772 3014715 3215696 4019620 4385040 4823544 6029430 8039240 9647088 12058860 16078480 24117720 48235440