Search a number
-
+
2483257440 = 253519272287
BaseRepresentation
bin1001010000000011…
…1000000001100000
320102001200112210210
42110000320001200
520041203214230
61050224454120
7115352224416
oct22400700140
96361615723
102483257440
111064809084
1259377a340
13307619901
14197b332b6
15e801eeb0
hex94038060

2483257440 has 96 divisors (see below), whose sum is σ = 8233989120. Its totient is φ = 627346944.

The previous prime is 2483257417. The next prime is 2483257453. The reversal of 2483257440 is 447523842.

It is a happy number.

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

It is a congruent number.

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, 127024 + ... + 145263.

It is an arithmetic number, because the mean of its divisors is an integer number (85770720).

Almost surely, 22483257440 is an apocalyptic number.

2483257440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2483257440 is an abundant number, since it is smaller than the sum of its proper divisors (5750731680).

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

2483257440 is a wasteful number, since it uses less digits than its factorization.

2483257440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272324 (or 272316 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 39.

The square root of 2483257440 is about 49832.2931441049. The cubic root of 2483257440 is about 1354.1722662564.

The spelling of 2483257440 in words is "two billion, four hundred eighty-three million, two hundred fifty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1520 1824 2280 3040 4560 9120 272287 544574 816861 1089148 1361435 1633722 2178296 2722870 3267444 4084305 4356592 5173453 5445740 6534888 8168610 8713184 10346906 10891480 13069776 15520359 16337220 20693812 21782960 25867265 26139552 31040718 32674440 41387624 43565920 51734530 62081436 65348880 77601795 82775248 103469060 124162872 130697760 155203590 165550496 206938120 248325744 310407180 413876240 496651488 620814360 827752480 1241628720 2483257440