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405144625 = 5313672371
BaseRepresentation
bin11000001001100…
…000010000110001
31001020100110221111
4120021200100301
51312204112000
6104111353321
713016446444
oct3011402061
91036313844
10405144625
1119876a176
12b3822841
1365c23162
143bb4365b
152587ccba
hex18260431

405144625 has 16 divisors (see below), whose sum is σ = 506203776. Its totient is φ = 323742000.

The previous prime is 405144613. The next prime is 405144631. The reversal of 405144625 is 526441504.

It is a happy number.

It is not a de Polignac number, because 405144625 - 221 = 403047473 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169690 + ... + 172060.

It is an arithmetic number, because the mean of its divisors is an integer number (31637736).

Almost surely, 2405144625 is an apocalyptic number.

It is an amenable number.

405144625 is a deficient number, since it is larger than the sum of its proper divisors (101059151).

405144625 is a wasteful number, since it uses less digits than its factorization.

405144625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3753 (or 3743 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

The square root of 405144625 is about 20128.2047137841. The cubic root of 405144625 is about 739.9516799469.

It can be divided in two parts, 405144 and 625, that added together give a square (405769 = 6372).

The spelling of 405144625 in words is "four hundred five million, one hundred forty-four thousand, six hundred twenty-five".

Divisors: 1 5 25 125 1367 2371 6835 11855 34175 59275 170875 296375 3241157 16205785 81028925 405144625