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4748117040 = 2432559111773
BaseRepresentation
bin1000110110000001…
…01000010000110000
3110020220102100002200
410123000220100300
534211004221130
62103052343200
7225443220552
oct43300502060
913226370080
104748117040
112017208677
12b06174b00
135a890a114
143308554d2
151cbc9e760
hex11b028430

4748117040 has 120 divisors (see below), whose sum is σ = 16216171920. Its totient is φ = 1244692992.

The previous prime is 4748117029. The next prime is 4748117041. The reversal of 4748117040 is 407118474.

4748117040 is a `hidden beast` number, since 4 + 7 + 481 + 170 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 4748116986 and 4748117004.

It is not an unprimeable number, because it can be changed into a prime (4748117041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13407 + ... + 98366.

It is an arithmetic number, because the mean of its divisors is an integer number (135134766).

Almost surely, 24748117040 is an apocalyptic number.

4748117040 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 4748117040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8108085960).

4748117040 is an abundant number, since it is smaller than the sum of its proper divisors (11468054880).

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

4748117040 is a wasteful number, since it uses less digits than its factorization.

4748117040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111851 (or 111842 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 4748117040 is about 68906.5819787921. The cubic root of 4748117040 is about 1680.7655524560.

The spelling of 4748117040 in words is "four billion, seven hundred forty-eight million, one hundred seventeen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 59 60 72 80 90 118 120 144 177 180 236 240 295 354 360 472 531 590 708 720 885 944 1062 1180 1416 1770 2124 2360 2655 2832 3540 4248 4720 5310 7080 8496 10620 14160 21240 42480 111773 223546 335319 447092 558865 670638 894184 1005957 1117730 1341276 1676595 1788368 2011914 2235460 2682552 3353190 4023828 4470920 5029785 5365104 6594607 6706380 8047656 8941840 10059570 13189214 13412760 16095312 19783821 20119140 26378428 26825520 32973035 39567642 40238280 52756856 59351463 65946070 79135284 80476560 98919105 105513712 118702926 131892140 158270568 197838210 237405852 263784280 296757315 316541136 395676420 474811704 527568560 593514630 791352840 949623408 1187029260 1582705680 2374058520 4748117040