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2491148256 = 253296114669
BaseRepresentation
bin1001010001111011…
…1110011111100000
320102121112102222020
42110132332133200
520100213221011
61051105541440
7115506260622
oct22436763740
96377472866
102491148256
111069208613
12596344880
1330915042c
14198bc8c12
15e8a7d006
hex947be7e0

2491148256 has 96 divisors (see below), whose sum is σ = 6876122400. Its totient is φ = 788551680.

The previous prime is 2491148249. The next prime is 2491148263. The reversal of 2491148256 is 6528411942.

It is an interprime number because it is at equal distance from previous prime (2491148249) and next prime (2491148263).

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, 162490 + ... + 177158.

It is an arithmetic number, because the mean of its divisors is an integer number (71626275).

Almost surely, 22491148256 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 2491148256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3438061200).

2491148256 is an abundant number, since it is smaller than the sum of its proper divisors (4384974144).

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

2491148256 is a wasteful number, since it uses less digits than its factorization.

2491148256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14772 (or 14764 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 2491148256 is about 49911.4040676076. The cubic root of 2491148256 is about 1355.6050920574.

The spelling of 2491148256 in words is "two billion, four hundred ninety-one million, one hundred forty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 61 87 96 116 122 174 183 232 244 348 366 464 488 696 732 928 976 1392 1464 1769 1952 2784 2928 3538 5307 5856 7076 10614 14152 14669 21228 28304 29338 42456 44007 56608 58676 84912 88014 117352 169824 176028 234704 352056 425401 469408 704112 850802 894809 1276203 1408224 1701604 1789618 2552406 2684427 3403208 3579236 5104812 5368854 6806416 7158472 10209624 10737708 13612832 14316944 20419248 21475416 25949461 28633888 40838496 42950832 51898922 77848383 85901664 103797844 155696766 207595688 311393532 415191376 622787064 830382752 1245574128 2491148256