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1013042982 = 23747261179
BaseRepresentation
bin111100011000011…
…100111100100110
32121121012220201110
4330120130330212
54033314333412
6244305005450
734050503040
oct7430347446
92547186643
101013042982
1147a922206
12243323886
13131b55b23
1498784a90
155de0ad3c
hex3c61cf26

1013042982 has 96 divisors (see below), whose sum is σ = 2418059520. Its totient is φ = 277081920.

The previous prime is 1013042963. The next prime is 1013042983. The reversal of 1013042982 is 2892403101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013042983) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5659369 + ... + 5659547.

It is an arithmetic number, because the mean of its divisors is an integer number (25188120).

Almost surely, 21013042982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013042982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209029760).

1013042982 is an abundant number, since it is smaller than the sum of its proper divisors (1405016538).

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

1013042982 is a wasteful number, since it uses less digits than its factorization.

1013042982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1013042982 is about 31828.3361487842. The cubic root of 1013042982 is about 1004.3288943006.

The spelling of 1013042982 in words is "one billion, thirteen million, forty-two thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 7 14 21 42 47 61 94 122 141 179 183 282 329 358 366 427 537 658 854 987 1074 1253 1281 1974 2209 2506 2562 2867 3759 4418 5734 6627 7518 8413 8601 10919 13254 15463 16826 17202 20069 21838 25239 30926 32757 40138 46389 50478 58891 60207 65514 76433 92778 117782 120414 134749 152866 176673 229299 269498 353346 395411 404247 458598 513193 790822 808494 943243 1026386 1186233 1539579 1886486 2372466 2767877 2829729 3079158 3592351 5535754 5659458 7184702 8303631 10777053 16607262 21554106 24120071 48240142 72360213 144720426 168840497 337680994 506521491 1013042982