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4642002 = 233314759
BaseRepresentation
bin10001101101010011010010
322201211122000
4101231103102
52142021002
6243254430
754312351
oct21552322
98654560
104642002
112690672
12167a416
13c66b61
1488b998
1561a61c
hex46d4d2

4642002 has 64 divisors (see below), whose sum is σ = 11059200. Its totient is φ = 1440720.

The previous prime is 4641991. The next prime is 4642009. The reversal of 4642002 is 2002464.

4642002 is a `hidden beast` number, since 464 + 200 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4642009) 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 31 ways as a sum of consecutive naturals, for example, 78649 + ... + 78707.

It is an arithmetic number, because the mean of its divisors is an integer number (172800).

Almost surely, 24642002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4642002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5529600).

4642002 is an abundant number, since it is smaller than the sum of its proper divisors (6417198).

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

4642002 is a wasteful number, since it uses less digits than its factorization.

4642002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4642002 is about 2154.5305753226. The cubic root of 4642002 is about 166.8150030498.

Adding to 4642002 its reverse (2002464), we get a palindrome (6644466).

The spelling of 4642002 in words is "four million, six hundred forty-two thousand, two".

Divisors: 1 2 3 6 9 18 27 31 47 54 59 62 93 94 118 141 177 186 279 282 354 423 531 558 837 846 1062 1269 1457 1593 1674 1829 2538 2773 2914 3186 3658 4371 5487 5546 8319 8742 10974 13113 16461 16638 24957 26226 32922 39339 49383 49914 74871 78678 85963 98766 149742 171926 257889 515778 773667 1547334 2321001 4642002