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4922016 = 253115979
BaseRepresentation
bin10010110001101010100000
3100021001201220
4102301222200
52230001031
6253255040
756556621
oct22615240
910231656
104922016
112861a90
121794480
131034448
14921a48
15673596
hex4b1aa0

4922016 has 96 divisors (see below), whose sum is σ = 14515200. Its totient is φ = 1447680.

The previous prime is 4922011. The next prime is 4922039. The reversal of 4922016 is 6102294.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4922011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62265 + ... + 62343.

It is an arithmetic number, because the mean of its divisors is an integer number (151200).

Almost surely, 24922016 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 4922016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7257600).

4922016 is an abundant number, since it is smaller than the sum of its proper divisors (9593184).

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

4922016 is a wasteful number, since it uses less digits than its factorization.

4922016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 4922016 is about 2218.5616962347. The cubic root of 4922016 is about 170.1039272253.

The spelling of 4922016 in words is "four million, nine hundred twenty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 59 66 79 88 96 118 132 158 176 177 236 237 264 316 352 354 472 474 528 632 649 708 869 944 948 1056 1264 1298 1416 1738 1888 1896 1947 2528 2596 2607 2832 3476 3792 3894 4661 5192 5214 5664 6952 7584 7788 9322 10384 10428 13904 13983 15576 18644 20768 20856 27808 27966 31152 37288 41712 51271 55932 62304 74576 83424 102542 111864 149152 153813 205084 223728 307626 410168 447456 615252 820336 1230504 1640672 2461008 4922016