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714418488 = 23337795981
BaseRepresentation
bin101010100101010…
…010100100111000
31211210022012221000
4222211102210320
52430342342423
6154520245000
723463312510
oct5245224470
91753265830
10714418488
113372a8203
1217b310760
13b501a144
146ac4c840
1542abe843
hex2a952938

714418488 has 128 divisors (see below), whose sum is σ = 2297088000. Its totient is φ = 201502080.

The previous prime is 714418457. The next prime is 714418493. The reversal of 714418488 is 884814417.

It is a happy number.

It is a super-2 number, since 2×7144184882 = 1020787551992412288, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116458 + ... + 122438.

It is an arithmetic number, because the mean of its divisors is an integer number (17946000).

Almost surely, 2714418488 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 714418488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148544000).

714418488 is an abundant number, since it is smaller than the sum of its proper divisors (1582669512).

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

714418488 is a wasteful number, since it uses less digits than its factorization.

714418488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6082 (or 6072 counting only the distinct ones).

The product of its digits is 229376, while the sum is 45.

The square root of 714418488 is about 26728.6080445653. The cubic root of 714418488 is about 893.9589188816.

The spelling of 714418488 in words is "seven hundred fourteen million, four hundred eighteen thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 79 84 108 126 158 168 189 216 237 252 316 378 474 504 553 632 711 756 948 1106 1422 1512 1659 1896 2133 2212 2844 3318 4266 4424 4977 5688 5981 6636 8532 9954 11962 13272 14931 17064 17943 19908 23924 29862 35886 39816 41867 47848 53829 59724 71772 83734 107658 119448 125601 143544 161487 167468 215316 251202 322974 334936 376803 430632 472499 502404 645948 753606 944998 1004808 1130409 1291896 1417497 1507212 1889996 2260818 2834994 3014424 3307493 3779992 4252491 4521636 5669988 6614986 8504982 9043272 9922479 11339976 12757473 13229972 17009964 19844958 25514946 26459944 29767437 34019928 39689916 51029892 59534874 79379832 89302311 102059784 119069748 178604622 238139496 357209244 714418488