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2495236560 = 2435192918869
BaseRepresentation
bin1001010010111010…
…0100100111010000
320102220020011001220
42110232210213100
520102240032220
61051333325040
7115556106105
oct22456444720
96386204056
102495236560
111070550183
12597796780
13309c5224b
14199570aac
15e90d9540
hex94ba49d0

2495236560 has 160 divisors (see below), whose sum is σ = 8423568000. Its totient is φ = 608606208.

The previous prime is 2495236559. The next prime is 2495236561. The reversal of 2495236560 is 656325942.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2495236559) and next prime (2495236561).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2495236561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122806 + ... + 141674.

It is an arithmetic number, because the mean of its divisors is an integer number (52647300).

Almost surely, 22495236560 is an apocalyptic number.

2495236560 is a gapful number since it is divisible by the number (20) 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 2495236560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4211784000).

2495236560 is an abundant number, since it is smaller than the sum of its proper divisors (5928331440).

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

2495236560 is a wasteful number, since it uses less digits than its factorization.

2495236560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18933 (or 18927 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 42.

The square root of 2495236560 is about 49952.3428879968. The cubic root of 2495236560 is about 1356.3462625438.

The spelling of 2495236560 in words is "two billion, four hundred ninety-five million, two hundred thirty-six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 29 30 38 40 48 57 58 60 76 80 87 95 114 116 120 145 152 174 190 228 232 240 285 290 304 348 380 435 456 464 551 570 580 696 760 870 912 1102 1140 1160 1392 1520 1653 1740 2204 2280 2320 2755 3306 3480 4408 4560 5510 6612 6960 8265 8816 11020 13224 16530 18869 22040 26448 33060 37738 44080 56607 66120 75476 94345 113214 132240 150952 188690 226428 283035 301904 358511 377380 452856 547201 566070 717022 754760 905712 1075533 1094402 1132140 1434044 1509520 1641603 1792555 2151066 2188804 2264280 2736005 2868088 3283206 3585110 4302132 4377608 4528560 5377665 5472010 5736176 6566412 7170220 8208015 8604264 8755216 10396819 10755330 10944020 13132824 14340440 16416030 17208528 20793638 21510660 21888040 26265648 28680880 31190457 32832060 41587276 43021320 43776080 51984095 62380914 65664120 83174552 86042640 103968190 124761828 131328240 155952285 166349104 207936380 249523656 311904570 415872760 499047312 623809140 831745520 1247618280 2495236560