Search a number
-
+
470256732 = 223311311132
BaseRepresentation
bin11100000001111…
…000110001011100
31012202212111222000
4130001320301130
51430341203412
6114355122300
714440054611
oct3401706134
91182774860
10470256732
112214a1930
121115a3390
137656cc2a
1446652508
152b4404dc
hex1c078c5c

470256732 has 144 divisors (see below), whose sum is σ = 1385180160. Its totient is φ = 136684800.

The previous prime is 470256713. The next prime is 470256751. The reversal of 470256732 is 237652074.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (470256713) and next prime (470256751).

It is a super-2 number, since 2×4702567322 = 442282787982639648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4161508 + ... + 4161620.

Almost surely, 2470256732 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 470256732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692590080).

470256732 is an abundant number, since it is smaller than the sum of its proper divisors (914923428).

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

470256732 is a wasteful number, since it uses less digits than its factorization.

470256732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 470256732 is about 21685.4036623716. The cubic root of 470256732 is about 777.6395503622.

The spelling of 470256732 in words is "four hundred seventy million, two hundred fifty-six thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 31 33 36 44 54 62 66 93 99 108 113 124 132 186 198 226 279 297 339 341 372 396 452 558 594 678 682 837 1017 1023 1116 1188 1243 1356 1364 1674 2034 2046 2486 3051 3069 3348 3503 3729 4068 4092 4972 6102 6138 7006 7458 9207 10509 11187 12204 12276 12769 14012 14916 18414 21018 22374 25538 31527 33561 36828 38307 38533 42036 44748 51076 63054 67122 76614 77066 94581 114921 115599 126108 134244 140459 153228 154132 189162 229842 231198 280918 344763 346797 378324 395839 421377 459684 462396 561836 689526 693594 791678 842754 1040391 1187517 1264131 1379052 1387188 1583356 1685508 2080782 2375034 2528262 3562551 3792393 4161564 4354229 4750068 5056524 7125102 7584786 8708458 10687653 13062687 14250204 15169572 17416916 21375306 26125374 39188061 42750612 52250748 78376122 117564183 156752244 235128366 470256732