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19928952 = 23324143157
BaseRepresentation
bin100110000000…
…1011101111000
31101111111101100
41030001131320
520100211302
61551051400
7331251621
oct114013570
941444340
1019928952
1110281a0a
126810b60
134189ca4
14290aa48
151b39d1c
hex1301778

19928952 has 96 divisors (see below), whose sum is σ = 56936880. Its totient is φ = 6289920.

The previous prime is 19928921. The next prime is 19928959. The reversal of 19928952 is 25982991.

It is a junction number, because it is equal to n+sod(n) for n = 19928898 and 19928907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19928959) 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 23 ways as a sum of consecutive naturals, for example, 126858 + ... + 127014.

Almost surely, 219928952 is an apocalyptic number.

19928952 is a gapful number since it is divisible by the number (12) 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 19928952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28468440).

19928952 is an abundant number, since it is smaller than the sum of its proper divisors (37007928).

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

19928952 is a wasteful number, since it uses less digits than its factorization.

19928952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 246 counting only the distinct ones).

The product of its digits is 116640, while the sum is 45.

The square root of 19928952 is about 4464.1854800176. The cubic root of 19928952 is about 271.1199570605.

The spelling of 19928952 in words is "nineteen million, nine hundred twenty-eight thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 43 72 82 86 123 129 157 164 172 246 258 314 328 344 369 387 471 492 516 628 738 774 942 984 1032 1256 1413 1476 1548 1763 1884 2826 2952 3096 3526 3768 5289 5652 6437 6751 7052 10578 11304 12874 13502 14104 15867 19311 20253 21156 25748 27004 31734 38622 40506 42312 51496 54008 57933 60759 63468 77244 81012 115866 121518 126936 154488 162024 231732 243036 276791 463464 486072 553582 830373 1107164 1660746 2214328 2491119 3321492 4982238 6642984 9964476 19928952