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4214496 = 2531113307
BaseRepresentation
bin10000000100111011100000
321221010012110
4100010323200
52034330441
6230155320
750552106
oct20047340
97833173
104214496
112419460
1214b2b40
13b473b0
147b9c76
15583b16
hex404ee0

4214496 has 96 divisors (see below), whose sum is σ = 13039488. Its totient is φ = 1175040.

The previous prime is 4214479. The next prime is 4214503. The reversal of 4214496 is 6944124.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×42144963 (a number of 21 digits) contains 333 as substring.

It is a d-powerful number, because it can be written as 45 + 211 + 1 + 47 + 411 + 93 + 6 .

It is a congruent 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, 13575 + ... + 13881.

It is an arithmetic number, because the mean of its divisors is an integer number (135828).

Almost surely, 24214496 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 4214496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6519744).

4214496 is an abundant number, since it is smaller than the sum of its proper divisors (8824992).

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

4214496 is a wasteful number, since it uses less digits than its factorization.

4214496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 336 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 4214496 is about 2052.9237686772. The cubic root of 4214496 is about 161.5282725825.

The spelling of 4214496 in words is "four million, two hundred fourteen thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 132 143 156 176 208 264 286 307 312 352 416 429 528 572 614 624 858 921 1056 1144 1228 1248 1716 1842 2288 2456 3377 3432 3684 3991 4576 4912 6754 6864 7368 7982 9824 10131 11973 13508 13728 14736 15964 20262 23946 27016 29472 31928 40524 43901 47892 54032 63856 81048 87802 95784 108064 127712 131703 162096 175604 191568 263406 324192 351208 383136 526812 702416 1053624 1404832 2107248 4214496