Search a number
-
+
474729984 = 293411447
BaseRepresentation
bin11100010010111…
…100111000000000
31020002021210010000
4130102330320000
51433012324414
6115035040000
714523065301
oct3422747000
91202253100
10474729984
11223a77733
12112ba0000
1377478021
14470987a8
152ba25b09
hex1c4bce00

474729984 has 100 divisors (see below), whose sum is σ = 1417067784. Its totient is φ = 158229504.

The previous prime is 474729979. The next prime is 474730031. The reversal of 474729984 is 489927474.

It is a happy number.

474729984 is a `hidden beast` number, since 4 + 7 + 472 + 99 + 84 = 666.

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 474729984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 35749 + ... + 47195.

Almost surely, 2474729984 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 474729984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708533892).

474729984 is an abundant number, since it is smaller than the sum of its proper divisors (942337800).

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

474729984 is an equidigital number, since it uses as much as digits as its factorization.

474729984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11477 (or 11452 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 474729984 is about 21788.2992452371. The cubic root of 474729984 is about 780.0975026042.

The spelling of 474729984 in words is "four hundred seventy-four million, seven hundred twenty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1152 1296 1536 1728 2304 2592 3456 4608 5184 6912 10368 11447 13824 20736 22894 34341 41472 45788 68682 91576 103023 137364 183152 206046 274728 309069 366304 412092 549456 618138 732608 824184 927207 1098912 1236276 1465216 1648368 1854414 2197824 2472552 2930432 3296736 3708828 4395648 4945104 5860864 6593472 7417656 8791296 9890208 13186944 14835312 17582592 19780416 26373888 29670624 39560832 52747776 59341248 79121664 118682496 158243328 237364992 474729984