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4940352 = 2634953
BaseRepresentation
bin10010110110001001000000
3100021222220000
4102312021000
52231042402
6253520000
756664234
oct22661100
910258800
104940352
11287483a
1217a3000
13103c8b1
149285c4
15678c1c
hex4b6240

4940352 has 70 divisors (see below), whose sum is σ = 14660118. Its totient is φ = 1645056.

The previous prime is 4940339. The next prime is 4940359. The reversal of 4940352 is 2530494.

It can be written as a sum of positive squares in only one way, i.e., 4064256 + 876096 = 2016^2 + 936^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (4940359) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4708 + ... + 5660.

Almost surely, 24940352 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 4940352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7330059).

4940352 is an abundant number, since it is smaller than the sum of its proper divisors (9719766).

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

4940352 is an equidigital number, since it uses as much as digits as its factorization.

4940352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 4940352 is about 2222.6902618224. The cubic root of 4940352 is about 170.3148950144.

It can be divided in two parts, 49403 and 52, that added together give a triangular number (49455 = T314).

The spelling of 4940352 in words is "four million, nine hundred forty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 953 1296 1728 1906 2592 2859 3812 5184 5718 7624 8577 11436 15248 17154 22872 25731 30496 34308 45744 51462 60992 68616 77193 91488 102924 137232 154386 182976 205848 274464 308772 411696 548928 617544 823392 1235088 1646784 2470176 4940352