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714107472 = 243132471873
BaseRepresentation
bin101010100100000…
…110101001010000
31211202201102021220
4222210012221100
52430302414342
6154505445040
723460545661
oct5244065120
91752642256
10714107472
11337105571
1217b1a0780
13b4c3b700
146abab368
1542a5c5ec
hex2a906a50

714107472 has 120 divisors (see below), whose sum is σ = 2041190784. Its totient is φ = 214935552.

The previous prime is 714107461. The next prime is 714107479. The reversal of 714107472 is 274701417.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (714107479) 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, 380328 + ... + 382200.

Almost surely, 2714107472 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 714107472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020595392).

714107472 is an abundant number, since it is smaller than the sum of its proper divisors (1327083312).

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

714107472 is a wasteful number, since it uses less digits than its factorization.

714107472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957 (or 1938 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 33.

The square root of 714107472 is about 26722.7893753627. The cubic root of 714107472 is about 893.8291742532.

Adding to 714107472 its reverse (274701417), we get a palindrome (988808889).

The spelling of 714107472 in words is "seven hundred fourteen million, one hundred seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 47 48 52 78 94 104 141 156 169 188 208 282 312 338 376 507 564 611 624 676 752 1014 1128 1222 1352 1833 1873 2028 2256 2444 2704 3666 3746 4056 4888 5619 7332 7492 7943 8112 9776 11238 14664 14984 15886 22476 23829 24349 29328 29968 31772 44952 47658 48698 63544 73047 88031 89904 95316 97396 127088 146094 176062 190632 194792 264093 292188 316537 352124 381264 389584 528186 584376 633074 704248 949611 1056372 1144403 1168752 1266148 1408496 1899222 2112744 2288806 2532296 3433209 3798444 4225488 4577612 5064592 6866418 7596888 9155224 13732836 14877239 15193776 18310448 27465672 29754478 44631717 54931344 59508956 89263434 119017912 178526868 238035824 357053736 714107472