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2529716490 = 2325718792137
BaseRepresentation
bin1001011011001000…
…0110100100001010
320112022002220122100
42112302012210022
520140101411430
61055004334230
7116455143510
oct22662064412
96468086570
102529716490
111088a60494
125a7244376
13314135382
1419dd884b0
15ec14a960
hex96c8690a

2529716490 has 96 divisors (see below), whose sum is σ = 7524391680. Its totient is φ = 577642752.

The previous prime is 2529716489. The next prime is 2529716507. The reversal of 2529716490 is 946179252.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1182702 + ... + 1184838.

It is an arithmetic number, because the mean of its divisors is an integer number (78379080).

Almost surely, 22529716490 is an apocalyptic number.

2529716490 is an abundant number, since it is smaller than the sum of its proper divisors (4994675190).

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

2529716490 is a wasteful number, since it uses less digits than its factorization.

2529716490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4036 (or 4033 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 2529716490 is about 50296.2870398999. The cubic root of 2529716490 is about 1362.5651719801.

The spelling of 2529716490 in words is "two billion, five hundred twenty-nine million, seven hundred sixteen thousand, four hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 1879 2137 3758 4274 5637 6411 9395 10685 11274 12822 13153 14959 16911 18790 19233 21370 26306 28185 29918 32055 33822 38466 39459 44877 56370 64110 65765 74795 78918 84555 89754 96165 118377 131530 134631 149590 169110 192330 197295 224385 236754 269262 394590 448770 591885 673155 1183770 1346310 4015423 8030846 12046269 20077115 24092538 28107961 36138807 40154230 56215922 60231345 72277614 84323883 120462690 140539805 168647766 180694035 252971649 281079610 361388070 421619415 505943298 843238830 1264858245 2529716490