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2057792 = 26113779
BaseRepresentation
bin111110110011001000000
310212112202112
413312121000
51011322132
6112034452
723330252
oct7663100
93775675
102057792
111186060
12832a28
13570839
143b7cd2
152a9ab2
hex1f6640

2057792 has 56 divisors (see below), whose sum is σ = 4632960. Its totient is φ = 898560.

The previous prime is 2057791. The next prime is 2057807. The reversal of 2057792 is 2977502.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (2057791) 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, 26009 + ... + 26087.

22057792 is an apocalyptic number.

2057792 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2057792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2316480).

2057792 is an abundant number, since it is smaller than the sum of its proper divisors (2575168).

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

2057792 is a wasteful number, since it uses less digits than its factorization.

2057792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 32.

The square root of 2057792 is about 1434.5006099685. The cubic root of 2057792 is about 127.1941560808.

It can be divided in two parts, 205 and 7792, that added together give a palindrome (7997).

The spelling of 2057792 in words is "two million, fifty-seven thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 79 88 148 158 176 296 316 352 407 592 632 704 814 869 1184 1264 1628 1738 2368 2528 2923 3256 3476 5056 5846 6512 6952 11692 13024 13904 23384 26048 27808 32153 46768 55616 64306 93536 128612 187072 257224 514448 1028896 2057792