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4940928 = 27324289
BaseRepresentation
bin10010110110010010000000
3100022000200100
4102312102000
52231102203
6253522400
756666016
oct22662200
910260610
104940928
112875213
1217a3400
13103cc35
149288b6
15678ea3
hex4b6480

4940928 has 48 divisors (see below), whose sum is σ = 14221350. Its totient is φ = 1646592.

The previous prime is 4940911. The next prime is 4940959. The reversal of 4940928 is 8290494.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 3069504 + 1871424 = 1752^2 + 1368^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a zygodrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 4940892 and 4940901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 993 + ... + 3296.

Almost surely, 24940928 is an apocalyptic number.

4940928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4940928 is an abundant number, since it is smaller than the sum of its proper divisors (9280422).

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

4940928 is a wasteful number, since it uses less digits than its factorization.

4940928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4309 (or 4294 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4940928 is about 2222.8198307555. The cubic root of 4940928 is about 170.3215138119.

The spelling of 4940928 in words is "four million, nine hundred forty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 4289 8578 12867 17156 25734 34312 38601 51468 68624 77202 102936 137248 154404 205872 274496 308808 411744 548992 617616 823488 1235232 1646976 2470464 4940928