Search a number
-
+
537629994 = 233112813221
BaseRepresentation
bin100000000010111…
…001010100101010
31101110122102201000
4200002321110222
52100113124434
6125203135430
716215531246
oct4002712452
91343572630
10537629994
11256529410
12130074576
13874cbc75
145158d426
15322ecb99
hex200b952a

537629994 has 64 divisors (see below), whose sum is σ = 1308389760. Its totient is φ = 162288000.

The previous prime is 537629987. The next prime is 537630001. The reversal of 537629994 is 499926735.

537629994 is a `hidden beast` number, since 5 + 3 + 7 + 629 + 9 + 9 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (537629987) and next prime (537630001).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 537629994.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165304 + ... + 168524.

It is an arithmetic number, because the mean of its divisors is an integer number (20443590).

Almost surely, 2537629994 is an apocalyptic number.

537629994 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 537629994, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654194880).

537629994 is an abundant number, since it is smaller than the sum of its proper divisors (770759766).

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

537629994 is a wasteful number, since it uses less digits than its factorization.

537629994 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3524 (or 3518 counting only the distinct ones).

The product of its digits is 3674160, while the sum is 54.

The square root of 537629994 is about 23186.8495919562. The cubic root of 537629994 is about 813.1322070915.

The spelling of 537629994 in words is "five hundred thirty-seven million, six hundred twenty-nine thousand, nine hundred ninety-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 281 297 562 594 843 1686 2529 3091 3221 5058 6182 6442 7587 9273 9663 15174 18546 19326 27819 28989 35431 55638 57978 70862 83457 86967 106293 166914 173934 212586 318879 637758 905101 956637 1810202 1913274 2715303 5430606 8145909 9956111 16291818 19912222 24437727 29868333 48875454 59736666 89604999 179209998 268814997 537629994