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2042652 = 2231721931
BaseRepresentation
bin111110010101100011100
310211202222210
413302230130
51010331102
6111440420
723235153
oct7625434
93752883
102042652
111175747
12826110
13566991
143b259a
152a536c
hex1f2b1c

2042652 has 72 divisors (see below), whose sum is σ = 5501440. Its totient is φ = 587520.

The previous prime is 2042647. The next prime is 2042657. The reversal of 2042652 is 2562402.

It is an interprime number because it is at equal distance from previous prime (2042647) and next prime (2042657).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042657) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65877 + ... + 65907.

22042652 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 2042652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2750720).

2042652 is an abundant number, since it is smaller than the sum of its proper divisors (3458788).

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

2042652 is a wasteful number, since it uses less digits than its factorization.

2042652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 2042652 is about 1429.2137698749. The cubic root of 2042652 is about 126.8814484658.

The spelling of 2042652 in words is "two million, forty-two thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 12 17 19 31 34 38 51 57 62 68 76 93 102 114 124 186 204 228 289 323 372 527 578 589 646 867 969 1054 1156 1178 1292 1581 1734 1767 1938 2108 2356 3162 3468 3534 3876 5491 6324 7068 8959 10013 10982 16473 17918 20026 21964 26877 30039 32946 35836 40052 53754 60078 65892 107508 120156 170221 340442 510663 680884 1021326 2042652