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4942784 = 267111759
BaseRepresentation
bin10010110110101111000000
3100022010020002
4102312233000
52231132114
6253535132
760004310
oct22665700
910263202
104942784
112876650
1217a44a8
131040a32
14929440
156797de
hex4b6bc0

4942784 has 112 divisors (see below), whose sum is σ = 13167360. Its totient is φ = 1781760.

The previous prime is 4942781. The next prime is 4942799. The reversal of 4942784 is 4872494.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×49427842 = 48862227341312, which contains 22 as substring.

Its product of digits (64512) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4942781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83747 + ... + 83805.

Almost surely, 24942784 is an apocalyptic number.

4942784 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4942784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6583680).

4942784 is an abundant number, since it is smaller than the sum of its proper divisors (8224576).

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

4942784 is a wasteful number, since it uses less digits than its factorization.

4942784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 96 counting only the distinct ones).

The product of its digits is 64512, while the sum is 38.

The square root of 4942784 is about 2223.2372792844. The cubic root of 4942784 is about 170.3428375494.

The spelling of 4942784 in words is "four million, nine hundred forty-two thousand, seven hundred eighty-four".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 32 34 44 56 59 64 68 77 88 112 118 119 136 154 176 187 224 236 238 272 308 352 374 413 448 472 476 544 616 649 704 748 826 944 952 1003 1088 1232 1298 1309 1496 1652 1888 1904 2006 2464 2596 2618 2992 3304 3776 3808 4012 4543 4928 5192 5236 5984 6608 7021 7616 8024 9086 10384 10472 11033 11968 13216 14042 16048 18172 20768 20944 22066 26432 28084 32096 36344 41536 41888 44132 56168 64192 72688 77231 83776 88264 112336 145376 154462 176528 224672 290752 308924 353056 449344 617848 706112 1235696 2471392 4942784