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2530377792 = 26341573109
BaseRepresentation
bin1001011011010010…
…1000000001000000
320112100100111210000
42112310220001000
520140234042132
61055030440000
7116463566505
oct22664500100
96470314700
102530377792
111089372318
125a7503000
13314307387
141a00bb4ac
15ec22b87c
hex96d28040

2530377792 has 140 divisors (see below), whose sum is σ = 7551036460. Its totient is φ = 837817344.

The previous prime is 2530377761. The next prime is 2530377797. The reversal of 2530377792 is 2977730352.

It can be written as a sum of positive squares in 2 ways, for example, as 588741696 + 1941636096 = 24264^2 + 44064^2 .

It is not an unprimeable number, because it can be changed into a prime (2530377797) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 812334 + ... + 815442.

Almost surely, 22530377792 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 2530377792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3775518230).

2530377792 is an abundant number, since it is smaller than the sum of its proper divisors (5020658668).

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

2530377792 is a wasteful number, since it uses less digits than its factorization.

2530377792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3290 (or 3271 counting only the distinct ones).

The product of its (nonzero) digits is 555660, while the sum is 45.

The square root of 2530377792 is about 50302.8606741207. The cubic root of 2530377792 is about 1362.6838926050.

The spelling of 2530377792 in words is "two billion, five hundred thirty million, three hundred seventy-seven thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 157 162 192 216 288 314 324 432 471 576 628 648 864 942 1256 1296 1413 1728 1884 2512 2592 2826 3109 3768 4239 5024 5184 5652 6218 7536 8478 9327 10048 11304 12436 12717 15072 16956 18654 22608 24872 25434 27981 30144 33912 37308 45216 49744 50868 55962 67824 74616 83943 90432 99488 101736 111924 135648 149232 167886 198976 203472 223848 251829 271296 298464 335772 406944 447696 488113 503658 596928 671544 813888 895392 976226 1007316 1343088 1464339 1790784 1952452 2014632 2686176 2928678 3904904 4029264 4393017 5372352 5857356 7809808 8058528 8786034 11714712 13179051 15619616 16117056 17572068 23429424 26358102 31239232 35144136 39537153 46858848 52716204 70288272 79074306 93717696 105432408 140576544 158148612 210864816 281153088 316297224 421729632 632594448 843459264 1265188896 2530377792