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405466112 = 2103153241
BaseRepresentation
bin11000001010101…
…110110000000000
31001020221210221102
4120022232300000
51312244403422
6104122313532
713022255642
oct3012566000
91036853842
10405466112
11198969767
12b39588a8
136600659c
143bbc8892
15258e3192
hex182aec00

405466112 has 88 divisors (see below), whose sum is σ = 856006272. Its totient is φ = 191692800.

The previous prime is 405466067. The next prime is 405466123. The reversal of 405466112 is 211664504.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1682312 + ... + 1682552.

It is an arithmetic number, because the mean of its divisors is an integer number (9727344).

Almost surely, 2405466112 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 405466112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428003136).

405466112 is an abundant number, since it is smaller than the sum of its proper divisors (450540160).

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

405466112 is a wasteful number, since it uses less digits than its factorization.

405466112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 405466112 is about 20136.1891131366. The cubic root of 405466112 is about 740.1473483061.

The spelling of 405466112 in words is "four hundred five million, four hundred sixty-six thousand, one hundred twelve".

Divisors: 1 2 4 8 16 31 32 53 62 64 106 124 128 212 241 248 256 424 482 496 512 848 964 992 1024 1643 1696 1928 1984 3286 3392 3856 3968 6572 6784 7471 7712 7936 12773 13144 13568 14942 15424 15872 25546 26288 27136 29884 30848 31744 51092 52576 54272 59768 61696 102184 105152 119536 123392 204368 210304 239072 246784 395963 408736 420608 478144 791926 817472 841216 956288 1583852 1634944 1682432 1912576 3167704 3269888 3825152 6335408 6539776 7650304 12670816 13079552 25341632 50683264 101366528 202733056 405466112