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996590376 = 2332531791459
BaseRepresentation
bin111011011001101…
…100001100101000
32120110021000222200
4323121230030220
54020111343001
6242520220200
733460610205
oct7331541450
92513230880
10996590376
11471605111
1223990a660
1312b615262
1496500cac
155c75b086
hex3b66c328

996590376 has 96 divisors (see below), whose sum is σ = 2767284000. Its totient is φ = 323885952.

The previous prime is 996590359. The next prime is 996590383. The reversal of 996590376 is 673095699.

996590376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 682335 + ... + 683793.

It is an arithmetic number, because the mean of its divisors is an integer number (28825875).

Almost surely, 2996590376 is an apocalyptic number.

996590376 is the 25776-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 996590376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383642000).

996590376 is an abundant number, since it is smaller than the sum of its proper divisors (1770693624).

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

996590376 is a wasteful number, since it uses less digits than its factorization.

996590376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703 (or 1696 counting only the distinct ones).

The product of its (nonzero) digits is 2755620, while the sum is 54.

The square root of 996590376 is about 31568.8196801844. The cubic root of 996590376 is about 998.8621644881.

The spelling of 996590376 in words is "nine hundred ninety-six million, five hundred ninety thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 179 212 318 358 424 477 537 636 716 954 1074 1272 1432 1459 1611 1908 2148 2918 3222 3816 4296 4377 5836 6444 8754 9487 11672 12888 13131 17508 18974 26262 28461 35016 37948 52524 56922 75896 77327 85383 105048 113844 154654 170766 227688 231981 261161 309308 341532 463962 522322 618616 683064 695943 783483 927924 1044644 1391886 1566966 1855848 2089288 2350449 2783772 3133932 4700898 5567544 6267864 9401796 13841533 18803592 27683066 41524599 55366132 83049198 110732264 124573797 166098396 249147594 332196792 498295188 996590376