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2550020576 = 252961107421
BaseRepresentation
bin1001011111111110…
…0011100111100000
320120201022110121112
42113333203213200
520210301124301
61101011442452
7120122550215
oct22777434740
96521273545
102550020576
111099469224
125b1bb6428
133183c401c
141a2951b0c
15edd0b9bb
hex97fe39e0

2550020576 has 96 divisors (see below), whose sum is σ = 5340595680. Its totient is φ = 1196697600.

The previous prime is 2550020567. The next prime is 2550020611. The reversal of 2550020576 is 6750200552.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6056846 + ... + 6057266.

It is an arithmetic number, because the mean of its divisors is an integer number (55631205).

Almost surely, 22550020576 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 2550020576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2670297840).

2550020576 is an abundant number, since it is smaller than the sum of its proper divisors (2790575104).

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

2550020576 is a wasteful number, since it uses less digits than its factorization.

2550020576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 32.

The square root of 2550020576 is about 50497.7284241579. The cubic root of 2550020576 is about 1366.2008826614.

The spelling of 2550020576 in words is "two billion, five hundred fifty million, twenty thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 29 32 58 61 107 116 122 214 232 244 421 428 464 488 842 856 928 976 1684 1712 1769 1952 3103 3368 3424 3538 6206 6527 6736 7076 12209 12412 13054 13472 14152 24418 24824 25681 26108 28304 45047 48836 49648 51362 52216 56608 90094 97672 99296 102724 104432 180188 189283 195344 205448 208864 360376 378566 390688 410896 720752 744749 757132 821792 1306363 1441504 1489498 1514264 2612726 2747867 2978996 3028528 5225452 5495734 5957992 6057056 10450904 10991468 11915984 20901808 21982936 23831968 41803616 43965872 79688143 87931744 159376286 318752572 637505144 1275010288 2550020576