Search a number
-
+
4657277740 = 225412831669
BaseRepresentation
bin1000101011001100…
…00110101100101100
3110000120111020000011
410111212012230230
534014230341430
62050045343004
7223261131133
oct42546065454
913016436004
104657277740
111a7aa03775
12a9b867a64
13592b5315b
1432276a91a
151c3d0922a
hex115986b2c

4657277740 has 72 divisors (see below), whose sum is σ = 10151502480. Its totient is φ = 1794501120.

The previous prime is 4657277717. The next prime is 4657277741. The reversal of 4657277740 is 477727564.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4657277741) 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, 2789626 + ... + 2791294.

It is an arithmetic number, because the mean of its divisors is an integer number (140993090).

Almost surely, 24657277740 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 4657277740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5075751240).

4657277740 is an abundant number, since it is smaller than the sum of its proper divisors (5494224740).

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

4657277740 is a wasteful number, since it uses less digits than its factorization.

4657277740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 2304960, while the sum is 49.

The square root of 4657277740 is about 68244.2506003253. The cubic root of 4657277740 is about 1669.9778571651.

The spelling of 4657277740 in words is "four billion, six hundred fifty-seven million, two hundred seventy-seven thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 41 82 83 164 166 205 332 410 415 820 830 1660 1669 1681 3338 3362 3403 6676 6724 6806 8345 8405 13612 16690 16810 17015 33380 33620 34030 68060 68429 136858 138527 139523 273716 277054 279046 342145 554108 558092 684290 692635 697615 1368580 1385270 1395230 2770540 2790460 2805589 5611178 5679607 11222356 11359214 14027945 22718428 28055890 28398035 56111780 56796070 113592140 232863887 465727774 931455548 1164319435 2328638870 4657277740