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19142256 = 2437232477
BaseRepresentation
bin100100100000…
…1011001110000
31100000112020110
41021001121300
514400023011
61522141320
7321464220
oct111013160
940015213
1019142256
11a894951
1264b1840
133c72ba3
142784080
151a31ba6
hex1241670

19142256 has 80 divisors (see below), whose sum is σ = 58996224. Its totient is φ = 5229312.

The previous prime is 19142251. The next prime is 19142257. The reversal of 19142256 is 65224191.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19142251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6490 + ... + 8966.

Almost surely, 219142256 is an apocalyptic number.

19142256 is a gapful number since it is divisible by the number (16) 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 19142256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29498112).

19142256 is an abundant number, since it is smaller than the sum of its proper divisors (39853968).

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

19142256 is a wasteful number, since it uses less digits than its factorization.

19142256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2518 (or 2512 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 19142256 is about 4375.1863960293. The cubic root of 19142256 is about 267.5044678556.

The spelling of 19142256 in words is "nineteen million, one hundred forty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 276 322 336 368 483 552 644 966 1104 1288 1932 2477 2576 3864 4954 7431 7728 9908 14862 17339 19816 29724 34678 39632 52017 56971 59448 69356 104034 113942 118896 138712 170913 208068 227884 277424 341826 398797 416136 455768 683652 797594 832272 911536 1196391 1367304 1595188 2392782 2734608 3190376 4785564 6380752 9571128 19142256