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2554138992 = 243193318461
BaseRepresentation
bin1001100000111101…
…0001000101110000
320121000001201000110
42120033101011300
520212324421432
61101240021320
7120202552236
oct23017210560
96530051013
102554138992
1110a0821479
125b3461840
13319206762
141a3304956
15ee371dcc
hex983d1170

2554138992 has 80 divisors (see below), whose sum is σ = 6967272320. Its totient is φ = 804038400.

The previous prime is 2554138963. The next prime is 2554139047. The reversal of 2554138992 is 2998314552.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297642 + ... + 306102.

It is an arithmetic number, because the mean of its divisors is an integer number (87090904).

Almost surely, 22554138992 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 2554138992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3483636160).

2554138992 is an abundant number, since it is smaller than the sum of its proper divisors (4413133328).

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

2554138992 is a wasteful number, since it uses less digits than its factorization.

2554138992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8822 (or 8816 counting only the distinct ones).

The product of its digits is 777600, while the sum is 48.

The square root of 2554138992 is about 50538.4902030126. The cubic root of 2554138992 is about 1366.9359822480.

It can be divided in two parts, 255413899 and 2, that added together give a triangular number (255413901 = T22601).

The spelling of 2554138992 in words is "two billion, five hundred fifty-four million, one hundred thirty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 331 456 662 912 993 1324 1986 2648 3972 5296 6289 7944 8461 12578 15888 16922 18867 25156 25383 33844 37734 50312 50766 67688 75468 100624 101532 135376 150936 160759 203064 301872 321518 406128 482277 643036 964554 1286072 1929108 2572144 2800591 3858216 5601182 7716432 8401773 11202364 16803546 22404728 33607092 44809456 53211229 67214184 106422458 134428368 159633687 212844916 319267374 425689832 638534748 851379664 1277069496 2554138992