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470678256 = 243323127373
BaseRepresentation
bin11100000011011…
…111101011110000
31012210122221012000
4130003133223300
51430443201011
6114412134000
714443461546
oct3403375360
91183587160
10470678256
1122175a5a4
12111767300
1376689a59
1446721d96
152b4c5356
hex1c0dfaf0

470678256 has 160 divisors (see below), whose sum is σ = 1424670720. Its totient is φ = 148490496.

The previous prime is 470678249. The next prime is 470678261. The reversal of 470678256 is 652876074.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1261686 + ... + 1262058.

It is an arithmetic number, because the mean of its divisors is an integer number (8904192).

Almost surely, 2470678256 is an apocalyptic number.

470678256 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470678256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712335360).

470678256 is an abundant number, since it is smaller than the sum of its proper divisors (953992464).

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

470678256 is a wasteful number, since it uses less digits than its factorization.

470678256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 470678256 is about 21695.1205573972. The cubic root of 470678256 is about 777.8718318791.

The spelling of 470678256 in words is "four hundred seventy million, six hundred seventy-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 127 138 144 184 207 216 254 276 368 373 381 414 432 508 552 621 746 762 828 1016 1104 1119 1143 1242 1492 1524 1656 2032 2238 2286 2484 2921 2984 3048 3312 3357 3429 4476 4572 4968 5842 5968 6096 6714 6858 8579 8763 8952 9144 9936 10071 11684 13428 13716 17158 17526 17904 18288 20142 23368 25737 26289 26856 27432 34316 35052 40284 46736 47371 51474 52578 53712 54864 68632 70104 77211 78867 80568 94742 102948 105156 137264 140208 142113 154422 157734 161136 189484 205896 210312 231633 284226 308844 315468 378968 411792 420624 426339 463266 568452 617688 630936 757936 852678 926532 1089533 1136904 1235376 1261872 1279017 1705356 1853064 2179066 2273808 2558034 3268599 3410712 3706128 4358132 5116068 6537198 6821424 8716264 9805797 10232136 13074396 17432528 19611594 20464272 26148792 29417391 39223188 52297584 58834782 78446376 117669564 156892752 235339128 470678256