Search a number
-
+
4767872368 = 247295327697
BaseRepresentation
bin1000111000010111…
…11111010101110000
3110022021121000022111
410130023333111300
534231033403433
62105040015104
7226103150350
oct43413772560
913267530274
104767872368
112027381096
12b10901494
135aca3606c
14333318b60
151cd8a2dcd
hex11c2ff570

4767872368 has 80 divisors (see below), whose sum is σ = 11127948480. Its totient is φ = 1935618048.

The previous prime is 4767872359. The next prime is 4767872387. The reversal of 4767872368 is 8632787674.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158296 + ... + 185992.

It is an arithmetic number, because the mean of its divisors is an integer number (139099356).

Almost surely, 24767872368 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 4767872368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5563974240).

4767872368 is an abundant number, since it is smaller than the sum of its proper divisors (6360076112).

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

4767872368 is a wasteful number, since it uses less digits than its factorization.

4767872368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27794 (or 27788 counting only the distinct ones).

The product of its digits is 18966528, while the sum is 58.

The square root of 4767872368 is about 69049.7818099377. The cubic root of 4767872368 is about 1683.0933615853.

The spelling of 4767872368 in words is "four billion, seven hundred sixty-seven million, eight hundred seventy-two thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 53 56 58 106 112 116 203 212 232 371 406 424 464 742 812 848 1484 1537 1624 2968 3074 3248 5936 6148 10759 12296 21518 24592 27697 43036 55394 86072 110788 172144 193879 221576 387758 443152 775516 803213 1467941 1551032 1606426 2935882 3102064 3212852 5622491 5871764 6425704 10275587 11244982 11743528 12851408 20551174 22489964 23487056 41102348 42570289 44979928 82204696 85140578 89959856 164409392 170281156 297992023 340562312 595984046 681124624 1191968092 2383936184 4767872368