Search a number
-
+
2490281760 = 253523225569
BaseRepresentation
bin1001010001101110…
…1010111100100000
320102112220102100210
42110123222330200
520100003004020
61051035214120
7115466021451
oct22433527440
96375812323
102490281760
1110687765aa
12595ba7340
13308c08c05
14198a41128
15e895b3e0
hex946eaf20

2490281760 has 96 divisors (see below), whose sum is σ = 8185484160. Its totient is φ = 635199488.

The previous prime is 2490281749. The next prime is 2490281791. The reversal of 2490281760 is 671820942.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101745 + ... + 123824.

It is an arithmetic number, because the mean of its divisors is an integer number (85265460).

Almost surely, 22490281760 is an apocalyptic number.

2490281760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2490281760 is an abundant number, since it is smaller than the sum of its proper divisors (5695202400).

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

2490281760 is a wasteful number, since it uses less digits than its factorization.

2490281760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225610 (or 225602 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 2490281760 is about 49902.7229717978. The cubic root of 2490281760 is about 1355.4479004754.

The spelling of 2490281760 in words is "two billion, four hundred ninety million, two hundred eighty-one thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 69 80 92 96 115 120 138 160 184 230 240 276 345 368 460 480 552 690 736 920 1104 1380 1840 2208 2760 3680 5520 11040 225569 451138 676707 902276 1127845 1353414 1804552 2255690 2706828 3383535 3609104 4511380 5188087 5413656 6767070 7218208 9022760 10376174 10827312 13534140 15564261 18045520 20752348 21654624 25940435 27068280 31128522 36091040 41504696 51880870 54136560 62257044 77821305 83009392 103761740 108273120 124514088 155642610 166018784 207523480 249028176 311285220 415046960 498056352 622570440 830093920 1245140880 2490281760