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468987450 = 235219792083
BaseRepresentation
bin11011111101000…
…010111000111010
31012200111000211120
4123331002320322
51430030044300
6114312010110
714423220231
oct3375027072
91180430746
10468987450
11220805238
12111090936
1376217289
1446401b18
152b28e3a0
hex1bf42e3a

468987450 has 96 divisors (see below), whose sum is σ = 1240396800. Its totient is φ = 116925120.

The previous prime is 468987443. The next prime is 468987481. The reversal of 468987450 is 54789864.

It is a junction number, because it is equal to n+sod(n) for n = 468987393 and 468987402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 224109 + ... + 226191.

It is an arithmetic number, because the mean of its divisors is an integer number (12920800).

Almost surely, 2468987450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468987450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620198400).

468987450 is an abundant number, since it is smaller than the sum of its proper divisors (771409350).

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

468987450 is a wasteful number, since it uses less digits than its factorization.

468987450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2196 (or 2191 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The square root of 468987450 is about 21656.1180731912. The cubic root of 468987450 is about 776.9392709883.

The spelling of 468987450 in words is "four hundred sixty-eight million, nine hundred eighty-seven thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 79 95 114 150 158 190 237 285 395 474 475 570 790 950 1185 1425 1501 1975 2083 2370 2850 3002 3950 4166 4503 5925 6249 7505 9006 10415 11850 12498 15010 20830 22515 31245 37525 39577 45030 52075 62490 75050 79154 104150 112575 118731 156225 164557 197885 225150 237462 312450 329114 395770 493671 593655 822785 987342 989425 1187310 1645570 1978850 2468355 2968275 3126583 4113925 4936710 5936550 6253166 8227850 9379749 12341775 15632915 18759498 24683550 31265830 46898745 78164575 93797490 156329150 234493725 468987450