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2449889376 = 253112979999
BaseRepresentation
bin1001001000000110…
…0101100001100000
320022201220021102120
42102001211201200
520004132430001
61043033344240
7114465500424
oct22201454140
96281807376
102449889376
111047998170
12584568080
133007358ac
14193528b84
15e512d236
hex92065860

2449889376 has 96 divisors (see below), whose sum is σ = 7257600000. Its totient is φ = 716782080.

The previous prime is 2449889369. The next prime is 2449889389. The reversal of 2449889376 is 6739889442.

It is a tau number, because it is divible by the number of its divisors (96).

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, 9376 + ... + 70623.

It is an arithmetic number, because the mean of its divisors is an integer number (75600000).

Almost surely, 22449889376 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 2449889376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628800000).

2449889376 is an abundant number, since it is smaller than the sum of its proper divisors (4807710624).

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

2449889376 is a wasteful number, since it uses less digits than its factorization.

2449889376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80052 (or 80044 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 60.

The square root of 2449889376 is about 49496.3571992930. The cubic root of 2449889376 is about 1348.0794594891.

The spelling of 2449889376 in words is "two billion, four hundred forty-nine million, eight hundred eighty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 32 33 44 48 58 66 87 88 96 116 132 174 176 232 264 319 348 352 464 528 638 696 928 957 1056 1276 1392 1914 2552 2784 3828 5104 7656 10208 15312 30624 79999 159998 239997 319996 479994 639992 879989 959988 1279984 1759978 1919976 2319971 2559968 2639967 3519956 3839952 4639942 5279934 6959913 7039912 7679904 9279884 10559868 13919826 14079824 18559768 21119736 25519681 27839652 28159648 37119536 42239472 51039362 55679304 74239072 76559043 84478944 102078724 111358608 153118086 204157448 222717216 306236172 408314896 612472344 816629792 1224944688 2449889376