Search a number
-
+
4964462420 = 225374723037
BaseRepresentation
bin1001001111110011…
…11010111101010100
3110210222111211011112
410213321322331110
540131400244140
62140341354152
7234011143241
oct44771727524
913728454145
104964462420
112118345105
12b66708958
13611698238
143514905c8
151e0c86c65
hex127e7af54

4964462420 has 72 divisors (see below), whose sum is σ = 10943398536. Its totient is φ = 1890383616.

The previous prime is 4964462407. The next prime is 4964462431. The reversal of 4964462420 is 242644694.

It can be written as a sum of positive squares in 4 ways, for example, as 2262334096 + 2702128324 = 47564^2 + 51982^2 .

It is a super-3 number, since 3×49644624203 (a number of 30 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1633142 + ... + 1636178.

Almost surely, 24964462420 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 4964462420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5471699268).

4964462420 is an abundant number, since it is smaller than the sum of its proper divisors (5978936116).

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

4964462420 is a wasteful number, since it uses less digits than its factorization.

4964462420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3177 (or 3128 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 41.

The square root of 4964462420 is about 70458.9413772305. The cubic root of 4964462420 is about 1705.9150834097.

The spelling of 4964462420 in words is "four billion, nine hundred sixty-four million, four hundred sixty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 37 47 74 94 148 185 188 235 370 470 740 940 1739 2209 3037 3478 4418 6074 6956 8695 8836 11045 12148 15185 17390 22090 30370 34780 44180 60740 81733 112369 142739 163466 224738 285478 326932 408665 449476 561845 570956 713695 817330 1123690 1427390 1634660 2247380 2854780 5281343 6708733 10562686 13417466 21125372 26406715 26834932 33543665 52813430 67087330 105626860 134174660 248223121 496446242 992892484 1241115605 2482231210 4964462420