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406213488 = 24332340883
BaseRepresentation
bin11000001101100…
…101001101110000
31001022100210011000
4120031211031300
51312442312423
6104150322000
713031520612
oct3015451560
91038323130
10406213488
1119932a22a
12b4059300
1366208815
143bd40db2
15259de843
hex18365370

406213488 has 80 divisors (see below), whose sum is σ = 1216707840. Its totient is φ = 129514176.

The previous prime is 406213481. The next prime is 406213499. The reversal of 406213488 is 884312604.

It is a super-2 number, since 2×4062134882 = 330018795666252288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406213481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10506 + ... + 30377.

It is an arithmetic number, because the mean of its divisors is an integer number (15208848).

Almost surely, 2406213488 is an apocalyptic number.

406213488 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

406213488 is an abundant number, since it is smaller than the sum of its proper divisors (810494352).

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

406213488 is a wasteful number, since it uses less digits than its factorization.

406213488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40923 (or 40911 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 406213488 is about 20154.7385991483. The cubic root of 406213488 is about 740.6018284050.

The spelling of 406213488 in words is "four hundred six million, two hundred thirteen thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 432 552 621 828 1104 1242 1656 2484 3312 4968 9936 40883 81766 122649 163532 245298 327064 367947 490596 654128 735894 940309 981192 1103841 1471788 1880618 1962384 2207682 2820927 2943576 3761236 4415364 5641854 5887152 7522472 8462781 8830728 11283708 15044944 16925562 17661456 22567416 25388343 33851124 45134832 50776686 67702248 101553372 135404496 203106744 406213488