Search a number
-
+
492036984 = 233317472851
BaseRepresentation
bin11101010100111…
…110001101111000
31021021212001212000
4131110332031320
52001430140414
6120454021000
715123150105
oct3524761570
91237761760
10492036984
1123281873a
12118947760
137ac2775a
14494c1aac
152d2e3b09
hex1d53e378

492036984 has 128 divisors (see below), whose sum is σ = 1478476800. Its totient is φ = 151027200.

The previous prime is 492036983. The next prime is 492037067. The reversal of 492036984 is 489630294.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492036983) 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, 171159 + ... + 174009.

It is an arithmetic number, because the mean of its divisors is an integer number (11550600).

Almost surely, 2492036984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 492036984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739238400).

492036984 is an abundant number, since it is smaller than the sum of its proper divisors (986439816).

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

492036984 is a wasteful number, since it uses less digits than its factorization.

492036984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2930 (or 2920 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 492036984 is about 22181.9066808965. The cubic root of 492036984 is about 789.4644578459.

The spelling of 492036984 in words is "four hundred ninety-two million, thirty-six thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 47 51 54 68 72 94 102 108 136 141 153 188 204 216 282 306 376 408 423 459 564 612 799 846 918 1128 1224 1269 1598 1692 1836 2397 2538 2851 3196 3384 3672 4794 5076 5702 6392 7191 8553 9588 10152 11404 14382 17106 19176 21573 22808 25659 28764 34212 43146 48467 51318 57528 68424 76977 86292 96934 102636 133997 145401 153954 172584 193868 205272 267994 290802 307908 387736 401991 436203 535988 581604 615816 803982 872406 1071976 1163208 1205973 1308609 1607964 1744812 2277949 2411946 2617218 3215928 3489624 3617919 4555898 4823892 5234436 6833847 7235838 9111796 9647784 10468872 13667694 14471676 18223592 20501541 27335388 28943352 41003082 54670776 61504623 82006164 123009246 164012328 246018492 492036984