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2554305152 = 27729197499
BaseRepresentation
bin1001100000111111…
…1001101010000000
320121000101010221112
42120033321222000
520212400231102
61101243342452
7120204143540
oct23017715200
96530333845
102554305152
1110a09252a3
125b3521a28
13319264289
141a3349320
15ee3a6252
hex983f9a80

2554305152 has 128 divisors (see below), whose sum is σ = 6058800000. Its totient is φ = 1049481216.

The previous prime is 2554305151. The next prime is 2554305157. The reversal of 2554305152 is 2515034552.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (2554305151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5118599 + ... + 5119097.

It is an arithmetic number, because the mean of its divisors is an integer number (47334375).

Almost surely, 22554305152 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 2554305152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3029400000).

2554305152 is an abundant number, since it is smaller than the sum of its proper divisors (3504494848).

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

2554305152 is a wasteful number, since it uses less digits than its factorization.

2554305152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 32.

The square root of 2554305152 is about 50540.1340718443. The cubic root of 2554305152 is about 1366.9656236991.

The spelling of 2554305152 in words is "two billion, five hundred fifty-four million, three hundred five thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 197 203 224 232 394 406 448 464 499 788 812 896 928 998 1379 1576 1624 1856 1996 2758 3152 3248 3493 3712 3992 5516 5713 6304 6496 6986 7984 11032 11426 12608 12992 13972 14471 15968 22064 22852 25216 25984 27944 28942 31936 39991 44128 45704 55888 57884 63872 79982 88256 91408 98303 101297 111776 115768 159964 176512 182816 196606 202594 223552 231536 319928 365632 393212 405188 447104 463072 639856 688121 731264 786424 810376 926144 1279712 1376242 1572848 1620752 1852288 2559424 2752484 2850787 3145696 3241504 5118848 5504968 5701574 6291392 6483008 11009936 11403148 12582784 12966016 19955509 22019872 22806296 39911018 44039744 45612592 79822036 88079488 91225184 159644072 182450368 319288144 364900736 638576288 1277152576 2554305152