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2529429416 = 2319232961409
BaseRepresentation
bin1001011011000100…
…0000011110101000
320112021120022211222
42112301000132220
520140013220131
61054554241212
7116452536533
oct22661003650
96467508758
102529429416
111088884838
125a7126208
133140647c7
1419dd11a1a
15ec0e087b
hex96c407a8

2529429416 has 128 divisors (see below), whose sum is σ = 5490720000. Its totient is φ = 1085736960.

The previous prime is 2529429349. The next prime is 2529429433. The reversal of 2529429416 is 6149249252.

It is a super-4 number, since 4×25294294164 (a number of 39 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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 31 ways as a sum of consecutive naturals, for example, 6184220 + ... + 6184628.

It is an arithmetic number, because the mean of its divisors is an integer number (42896250).

Almost surely, 22529429416 is an apocalyptic number.

It is an amenable number.

2529429416 is an abundant number, since it is smaller than the sum of its proper divisors (2961290584).

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

2529429416 is a wasteful number, since it uses less digits than its factorization.

2529429416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 543 counting only the distinct ones).

The product of its digits is 311040, while the sum is 44.

The square root of 2529429416 is about 50293.4331299823. The cubic root of 2529429416 is about 1362.5136284135.

The spelling of 2529429416 in words is "two billion, five hundred twenty-nine million, four hundred twenty-nine thousand, four hundred sixteen".

Divisors: 1 2 4 8 19 23 29 38 46 58 61 76 92 116 122 152 184 232 244 409 437 488 551 667 818 874 1102 1159 1334 1403 1636 1748 1769 2204 2318 2668 2806 3272 3496 3538 4408 4636 5336 5612 7076 7771 9272 9407 11224 11861 12673 14152 15542 18814 23722 24949 25346 26657 31084 33611 37628 40687 47444 49898 50692 53314 62168 67222 75256 81374 94888 99796 101384 106628 134444 162748 178733 199592 213256 225359 268888 272803 325496 357466 450718 474031 545606 573827 714932 723521 773053 901436 948062 1091212 1147654 1429864 1447042 1546106 1802872 1896124 2182424 2295308 2894084 3092212 3792248 4590616 5183257 5788168 6184424 10366514 10902713 13746899 16640983 20733028 21805426 27493798 33281966 41466056 43610852 54987596 66563932 87221704 109975192 133127864 316178677 632357354 1264714708 2529429416