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2754893152 = 2511371911
BaseRepresentation
bin1010010000110100…
…0101010101100000
321002222211001221201
42210031011111200
521120223040102
61133210530544
7125161130314
oct24415052540
97088731851
102754893152
11119407a000
1264a736a54
1334b9960bb
141c1c41b44
15111cc9987
hexa4345560

2754893152 has 96 divisors (see below), whose sum is σ = 6056322048. Its totient is φ = 1233232000.

The previous prime is 2754893147. The next prime is 2754893161. The reversal of 2754893152 is 2513984572.

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, 3023577 + ... + 3024487.

It is an arithmetic number, because the mean of its divisors is an integer number (63086688).

Almost surely, 22754893152 is an apocalyptic number.

2754893152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2754893152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3028161024).

2754893152 is an abundant number, since it is smaller than the sum of its proper divisors (3301428896).

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

2754893152 is an equidigital number, since it uses as much as digits as its factorization.

2754893152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 995 counting only the distinct ones).

The product of its digits is 604800, while the sum is 46.

The square root of 2754893152 is about 52487.0760473471. The cubic root of 2754893152 is about 1401.8501308051.

The spelling of 2754893152 in words is "two billion, seven hundred fifty-four million, eight hundred ninety-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 71 88 121 142 176 242 284 352 484 568 781 911 968 1136 1331 1562 1822 1936 2272 2662 3124 3644 3872 5324 6248 7288 8591 10021 10648 12496 14576 17182 20042 21296 24992 29152 34364 40084 42592 64681 68728 80168 94501 110231 129362 137456 160336 189002 220462 258724 274912 320672 378004 440924 517448 711491 756008 881848 1034896 1212541 1422982 1512016 1763696 2069792 2425082 2845964 3024032 3527392 4850164 5691928 7826401 9700328 11383856 15652802 19400656 22767712 31305604 38801312 62611208 86090411 125222416 172180822 250444832 344361644 688723288 1377446576 2754893152