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400420552 = 23723183397
BaseRepresentation
bin10111110111011…
…110111011001000
31000220110110201211
4113313132323020
51310001424202
6103422222504
712631342600
oct2767367310
91026413654
10400420552
11196032984
12b2124a34
1364c5ab4c
143b273c00
15252481d7
hex17ddeec8

400420552 has 96 divisors (see below), whose sum is σ = 914699520. Its totient is φ = 163658880.

The previous prime is 400420543. The next prime is 400420561. The reversal of 400420552 is 255024004.

It is an interprime number because it is at equal distance from previous prime (400420543) and next prime (400420561).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1008418 + ... + 1008814.

It is an arithmetic number, because the mean of its divisors is an integer number (9528120).

Almost surely, 2400420552 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 400420552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457349760).

400420552 is an abundant number, since it is smaller than the sum of its proper divisors (514278968).

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

400420552 is a wasteful number, since it uses less digits than its factorization.

400420552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 400420552 is about 20010.5110379520. The cubic root of 400420552 is about 737.0644304205.

Adding to 400420552 its reverse (255024004), we get a palindrome (655444556).

The spelling of 400420552 in words is "four hundred million, four hundred twenty thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 31 49 56 62 83 98 124 166 196 217 248 332 392 397 434 581 664 794 868 1162 1519 1588 1736 2324 2573 2779 3038 3176 4067 4648 5146 5558 6076 8134 10292 11116 12152 12307 16268 18011 19453 20584 22232 24614 32536 32951 36022 38906 49228 65902 72044 77812 86149 98456 126077 131804 144088 155624 172298 230657 252154 263608 344596 461314 504308 603043 689192 922628 1008616 1021481 1206086 1614599 1845256 2042962 2412172 3229198 4085924 4824344 6458396 7150367 8171848 12916792 14300734 28601468 50052569 57202936 100105138 200210276 400420552