Search a number
-
+
2107544464 = 242324992
BaseRepresentation
bin111110110011110…
…1001001110010000
312102212201100111101
41331213221032100
513304012410324
6545043554144
7103140555334
oct17547511620
95385640441
102107544464
11991721393
124a998b954
1327782cb3c
1415dc917c4
15c5057944
hex7d9e9390

2107544464 has 45 divisors (see below), whose sum is σ = 4277195643. Its totient is φ = 1005936096.

The previous prime is 2107544419. The next prime is 2107544471. The reversal of 2107544464 is 4644457012.

The square root of 2107544464 is 45908.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4223287 + ... + 4223785.

Almost surely, 22107544464 is an apocalyptic number.

2107544464 is the 45908-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2107544464

2107544464 is an abundant number, since it is smaller than the sum of its proper divisors (2169651179).

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

2107544464 is an frugal number, since it uses more digits than its factorization.

2107544464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 37.

The cubic root of 2107544464 is about 1282.1108692305.

The spelling of 2107544464 in words is "two billion, one hundred seven million, five hundred forty-four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 23 46 92 184 368 499 529 998 1058 1996 2116 3992 4232 7984 8464 11477 22954 45908 91816 183632 249001 263971 498002 527942 996004 1055884 1992008 2111768 3984016 4223536 5727023 11454046 22908092 45816184 91632368 131721529 263443058 526886116 1053772232 2107544464