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2576030496 = 253132831913
BaseRepresentation
bin1001100110001011…
…0001101100100000
320122112020220111220
42121202301230200
520233430433441
61103341135040
7120556616664
oct23142615440
96575226456
102576030496
111102113926
125ba85a480
133208ccb00
141a61a28a4
15101248466
hex998b1b20

2576030496 has 144 divisors (see below), whose sum is σ = 7414346016. Its totient is φ = 782665728.

The previous prime is 2576030491. The next prime is 2576030503. The reversal of 2576030496 is 6940306752.

It is not an unprimeable number, because it can be changed into a prime (2576030491) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1345636 + ... + 1347548.

It is an arithmetic number, because the mean of its divisors is an integer number (51488514).

Almost surely, 22576030496 is an apocalyptic number.

2576030496 is a gapful number since it is divisible by the number (26) 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 2576030496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3707173008).

2576030496 is an abundant number, since it is smaller than the sum of its proper divisors (4838315520).

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

2576030496 is a wasteful number, since it uses less digits than its factorization.

2576030496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2035 (or 2014 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The square root of 2576030496 is about 50754.6105885958. The cubic root of 2576030496 is about 1370.8302098526.

The spelling of 2576030496 in words is "two billion, five hundred seventy-six million, thirty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 83 96 104 156 166 169 208 249 312 332 338 416 498 507 624 664 676 996 1014 1079 1248 1328 1352 1913 1992 2028 2158 2656 2704 3237 3826 3984 4056 4316 5408 5739 6474 7652 7968 8112 8632 11478 12948 14027 15304 16224 17264 22956 24869 25896 28054 30608 34528 42081 45912 49738 51792 56108 61216 74607 84162 91824 99476 103584 112216 149214 158779 168324 183648 198952 224432 298428 317558 323297 336648 397904 448864 476337 596856 635116 646594 673296 795808 952674 969891 1193712 1270232 1293188 1346592 1905348 1939782 2064127 2387424 2540464 2586376 3810696 3879564 4128254 5080928 5172752 6192381 7621392 7759128 8256508 10345504 12384762 15242784 15518256 16513016 24769524 26833651 31036512 33026032 49539048 53667302 66052064 80500953 99078096 107334604 161001906 198156192 214669208 322003812 429338416 644007624 858676832 1288015248 2576030496