Search a number
-
+
4640262100 = 2252199251929
BaseRepresentation
bin1000101001001010…
…01100011111010100
3102222101110201221021
410110211030133110
534000401341400
62044240530524
7222663401635
oct42445143724
912871421837
104640262100
111a71341661
12a96020a44
1358c476226
143203bb88c
151c259771a
hex11494c7d4

4640262100 has 72 divisors (see below), whose sum is σ = 10171224000. Its totient is φ = 1837440000.

The previous prime is 4640262097. The next prime is 4640262101. The reversal of 4640262100 is 12620464.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4640262101) 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, 4994436 + ... + 4995364.

It is an arithmetic number, because the mean of its divisors is an integer number (141267000).

Almost surely, 24640262100 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 4640262100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5085612000).

4640262100 is an abundant number, since it is smaller than the sum of its proper divisors (5530961900).

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

4640262100 is a wasteful number, since it uses less digits than its factorization.

4640262100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 4640262100 is about 68119.4693167820. The cubic root of 4640262100 is about 1667.9415876084.

Adding to 4640262100 its reverse (12620464), we get a palindrome (4652882564).

The spelling of 4640262100 in words is "four billion, six hundred forty million, two hundred sixty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 199 251 398 502 796 929 995 1004 1255 1858 1990 2510 3716 3980 4645 4975 5020 6275 9290 9950 12550 18580 19900 23225 25100 46450 49949 92900 99898 184871 199796 233179 249745 369742 466358 499490 739484 924355 932716 998980 1165895 1248725 1848710 2331790 2497450 3697420 4621775 4663580 4994900 5829475 9243550 11658950 18487100 23317900 46402621 92805242 185610484 232013105 464026210 928052420 1160065525 2320131050 4640262100