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2454752864 = 25377129201
BaseRepresentation
bin1001001001010000…
…1000111001100000
320100002001100212202
42102110020321200
520011404042424
61043325512332
7114555024614
oct22224107140
96302040782
102454752864
11104a70a183
125861126a8
133017494b5
14194033344
15e578e2ae
hex92508e60

2454752864 has 48 divisors (see below), whose sum is σ = 5033490336. Its totient is φ = 1177344000.

The previous prime is 2454752857. The next prime is 2454752869. The reversal of 2454752864 is 4682574542.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2454752869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69464 + ... + 98664.

It is an arithmetic number, because the mean of its divisors is an integer number (104864382).

Almost surely, 22454752864 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 2454752864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2516745168).

2454752864 is an abundant number, since it is smaller than the sum of its proper divisors (2578737472).

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

2454752864 is a wasteful number, since it uses less digits than its factorization.

2454752864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29319 (or 29311 counting only the distinct ones).

The product of its digits is 2150400, while the sum is 47.

The square root of 2454752864 is about 49545.4625974973. The cubic root of 2454752864 is about 1348.9709330087.

The spelling of 2454752864 in words is "two billion, four hundred fifty-four million, seven hundred fifty-two thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 37 71 74 142 148 284 296 568 592 1136 1184 2272 2627 5254 10508 21016 29201 42032 58402 84064 116804 233608 467216 934432 1080437 2073271 2160874 4146542 4321748 8293084 8643496 16586168 17286992 33172336 34573984 66344672 76711027 153422054 306844108 613688216 1227376432 2454752864