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1714747872 = 253191934871
BaseRepresentation
bin110011000110100…
…1111100111100000
311102111121012212110
41212031033213200
512002433412442
6442052555320
760331054635
oct14615174740
94374535773
101714747872
117aaa26502
123ba322b40
13214341216
14123a4418c
15a081869c
hex6634f9e0

1714747872 has 96 divisors (see below), whose sum is σ = 4763646720. Its totient is φ = 538583040.

The previous prime is 1714747871. The next prime is 1714747883. The reversal of 1714747872 is 2787474171.

1714747872 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1714747871) 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, 349597 + ... + 354467.

It is an arithmetic number, because the mean of its divisors is an integer number (49621320).

Almost surely, 21714747872 is an apocalyptic number.

1714747872 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 1714747872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2381823360).

1714747872 is an abundant number, since it is smaller than the sum of its proper divisors (3048898848).

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

1714747872 is a wasteful number, since it uses less digits than its factorization.

1714747872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5096 (or 5088 counting only the distinct ones).

The product of its digits is 614656, while the sum is 48.

The square root of 1714747872 is about 41409.5142690662. The cubic root of 1714747872 is about 1196.9245022731.

The spelling of 1714747872 in words is "one billion, seven hundred fourteen million, seven hundred forty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 193 228 304 386 456 579 608 772 912 1158 1544 1824 2316 3088 3667 4632 4871 6176 7334 9264 9742 11001 14613 14668 18528 19484 22002 29226 29336 38968 44004 58452 58672 77936 88008 92549 116904 117344 155872 176016 185098 233808 277647 352032 370196 467616 555294 740392 940103 1110588 1480784 1880206 2221176 2820309 2961568 3760412 4442352 5640618 7520824 8884704 11281236 15041648 17861957 22562472 30083296 35723914 45124944 53585871 71447828 90249888 107171742 142895656 214343484 285791312 428686968 571582624 857373936 1714747872