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4962232 = 23111731107
BaseRepresentation
bin10010111011011110111000
3100100002220101
4102323132320
52232242412
6254205144
760115102
oct22733670
910302811
104962232
11288a220
1217b37b4
131049842
14932572
15680457
hex4bb7b8

4962232 has 64 divisors (see below), whose sum is σ = 11197440. Its totient is φ = 2035200.

The previous prime is 4962193. The next prime is 4962239. The reversal of 4962232 is 2322694.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 42 + 97 + 62 + 24 + 210 + 311 + 210 .

4962232 is a modest number, since divided by 2232 gives 496 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 4962232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4962239) 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, 46323 + ... + 46429.

It is an arithmetic number, because the mean of its divisors is an integer number (174960).

Almost surely, 24962232 is an apocalyptic number.

4962232 is the 1819-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4962232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5598720).

4962232 is an abundant number, since it is smaller than the sum of its proper divisors (6235208).

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

4962232 is a wasteful number, since it uses less digits than its factorization.

4962232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 168 counting only the distinct ones).

The product of its digits is 5184, while the sum is 28.

The square root of 4962232 is about 2227.6067875637. The cubic root of 4962232 is about 170.5659568864.

The spelling of 4962232 in words is "four million, nine hundred sixty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 17 22 31 34 44 62 68 88 107 124 136 187 214 248 341 374 428 527 682 748 856 1054 1177 1364 1496 1819 2108 2354 2728 3317 3638 4216 4708 5797 6634 7276 9416 11594 13268 14552 20009 23188 26536 36487 40018 46376 56389 72974 80036 112778 145948 160072 225556 291896 451112 620279 1240558 2481116 4962232