Search a number
-
+
506947992 = 233131383421
BaseRepresentation
bin11110001101110…
…110100110011000
31022022220121220120
4132031312212120
52014234313432
6122145353240
715363662325
oct3615664630
91268817816
10506947992
11240182591
12121938820
1381048735
144b483b4c
152e78bc2c
hex1e376998

506947992 has 64 divisors (see below), whose sum is σ = 1283420160. Its totient is φ = 166857600.

The previous prime is 506947979. The next prime is 506947999. The reversal of 506947992 is 299749605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506947999) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1203942 + ... + 1204362.

It is an arithmetic number, because the mean of its divisors is an integer number (20053440).

Almost surely, 2506947992 is an apocalyptic number.

506947992 is the 18384-th pentagonal number.

It is an amenable number.

506947992 is an abundant number, since it is smaller than the sum of its proper divisors (776472168).

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

506947992 is a wasteful number, since it uses less digits than its factorization.

506947992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 51.

The square root of 506947992 is about 22515.5055905925. The cubic root of 506947992 is about 797.3600437045.

The spelling of 506947992 in words is "five hundred six million, nine hundred forty-seven thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 24 131 262 383 393 421 524 766 786 842 1048 1149 1263 1532 1572 1684 2298 2526 3064 3144 3368 4596 5052 9192 10104 50173 55151 100346 110302 150519 161243 165453 200692 220604 301038 322486 330906 401384 441208 483729 602076 644972 661812 967458 1204152 1289944 1323624 1934916 3869832 21122833 42245666 63368499 84491332 126736998 168982664 253473996 506947992