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4012416 = 273643
BaseRepresentation
bin1111010011100110000000
321112212000000
433103212000
52011344131
6222000000
746051002
oct17234600
97485000
104012416
1122a0651
121416000
13aa6415
14766372
15543ce6
hex3d3980

4012416 has 112 divisors (see below), whose sum is σ = 12263460. Its totient is φ = 1306368.

The previous prime is 4012381. The next prime is 4012441. The reversal of 4012416 is 6142104.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 93291 + ... + 93333.

Almost surely, 24012416 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 4012416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6131730).

4012416 is an abundant number, since it is smaller than the sum of its proper divisors (8251044).

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

4012416 is an frugal number, since it uses more digits than its factorization.

4012416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4012416 is about 2003.1015950271. The cubic root of 4012416 is about 158.9041786479.

The spelling of 4012416 in words is "four million, twelve thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 72 81 86 96 108 128 129 144 162 172 192 216 243 258 288 324 344 384 387 432 486 516 576 648 688 729 774 864 972 1032 1152 1161 1296 1376 1458 1548 1728 1944 2064 2322 2592 2752 2916 3096 3456 3483 3888 4128 4644 5184 5504 5832 6192 6966 7776 8256 9288 10368 10449 11664 12384 13932 15552 16512 18576 20898 23328 24768 27864 31104 31347 37152 41796 46656 49536 55728 62694 74304 83592 93312 111456 125388 148608 167184 222912 250776 334368 445824 501552 668736 1003104 1337472 2006208 4012416