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2078752 = 251319263
BaseRepresentation
bin111111011100000100000
310220121111211
413323200200
51013010002
6112315504
723445334
oct7734040
93817454
102078752
11119a885
12842b94
1357a240
143c17c4
152b0dd7
hex1fb820

2078752 has 48 divisors (see below), whose sum is σ = 4656960. Its totient is φ = 905472.

The previous prime is 2078731. The next prime is 2078753. The reversal of 2078752 is 2578702.

It is not an unprimeable number, because it can be changed into a prime (2078753) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7773 + ... + 8035.

It is an arithmetic number, because the mean of its divisors is an integer number (97020).

22078752 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 2078752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2328480).

2078752 is an abundant number, since it is smaller than the sum of its proper divisors (2578208).

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

2078752 is a wasteful number, since it uses less digits than its factorization.

2078752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 31.

The square root of 2078752 is about 1441.7877791131. The cubic root of 2078752 is about 127.6245508523.

The spelling of 2078752 in words is "two million, seventy-eight thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 76 104 152 208 247 263 304 416 494 526 608 988 1052 1976 2104 3419 3952 4208 4997 6838 7904 8416 9994 13676 19988 27352 39976 54704 64961 79952 109408 129922 159904 259844 519688 1039376 2078752