Search a number
-
+
2029152 = 25323919
BaseRepresentation
bin111101111011001100000
310211002110210
413233121200
51004413102
6111254120
723150616
oct7573140
93732423
102029152
111166594
1281a340
135607a8
143ab6b6
152a136c
hex1ef660

2029152 has 48 divisors (see below), whose sum is σ = 5564160. Its totient is φ = 646272.

The previous prime is 2029147. The next prime is 2029163. The reversal of 2029152 is 2519202.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1749 + ... + 2667.

It is an arithmetic number, because the mean of its divisors is an integer number (115920).

22029152 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 2029152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2782080).

2029152 is an abundant number, since it is smaller than the sum of its proper divisors (3535008).

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

2029152 is a wasteful number, since it uses less digits than its factorization.

2029152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 2029152 is about 1424.4830641324. The cubic root of 2029152 is about 126.6013082330.

The spelling of 2029152 in words is "two million, twenty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 919 1104 1838 2208 2757 3676 5514 7352 11028 14704 21137 22056 29408 42274 44112 63411 84548 88224 126822 169096 253644 338192 507288 676384 1014576 2029152