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2929334590 = 257134996451
BaseRepresentation
bin1010111010011010…
…0001100100111110
321120011001121121201
42232212201210332
521444402201330
61202401450114
7132406635040
oct25646414476
97504047551
102929334590
111273595486
1269904093a
13378b71ba0
141db08da90
15122285eca
hexae9a193e

2929334590 has 64 divisors (see below), whose sum is σ = 6503616000. Its totient is φ = 925084800.

The previous prime is 2929334587. The next prime is 2929334591. The reversal of 2929334590 is 954339292.

It is a happy number.

It is a super-5 number, since 5×29293345905 (a number of 49 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 2929334590.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2929334591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 450865 + ... + 457315.

It is an arithmetic number, because the mean of its divisors is an integer number (101619000).

Almost surely, 22929334590 is an apocalyptic number.

2929334590 is an abundant number, since it is smaller than the sum of its proper divisors (3574281410).

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

2929334590 is a wasteful number, since it uses less digits than its factorization.

2929334590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6977.

The product of its (nonzero) digits is 524880, while the sum is 46.

The square root of 2929334590 is about 54123.3275954094. The cubic root of 2929334590 is about 1430.8353457942.

The spelling of 2929334590 in words is "two billion, nine hundred twenty-nine million, three hundred thirty-four thousand, five hundred ninety".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 91 130 182 455 499 910 998 2495 3493 4990 6451 6487 6986 12902 12974 17465 32255 32435 34930 45157 45409 64510 64870 83863 90314 90818 167726 225785 227045 419315 451570 454090 587041 838630 1174082 2935205 3219049 5870410 6438098 16095245 22533343 32190490 41847637 45066686 83695274 112666715 209238185 225333430 292933459 418476370 585866918 1464667295 2929334590