Search a number
-
+
714442752 = 2113283467
BaseRepresentation
bin101010100101011…
…000100000000000
31211210100110012200
4222211120200000
52430344132002
6154520553200
723463443322
oct5245304000
91753313180
10714442752
11337314461
1217b322800
13b50281ba
146ac57612
1542ac6b1c
hex2a958800

714442752 has 144 divisors (see below), whose sum is σ = 2092774320. Its totient is φ = 234774528.

The previous prime is 714442747. The next prime is 714442777. The reversal of 714442752 is 257244417.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1529623 + ... + 1530089.

It is an arithmetic number, because the mean of its divisors is an integer number (14533155).

Almost surely, 2714442752 is an apocalyptic number.

714442752 is a gapful number since it is divisible by the number (72) 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 714442752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1046387160).

714442752 is an abundant number, since it is smaller than the sum of its proper divisors (1378331568).

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

714442752 is a wasteful number, since it uses less digits than its factorization.

714442752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 555 counting only the distinct ones).

The product of its digits is 62720, while the sum is 36.

The square root of 714442752 is about 26729.0619364017. The cubic root of 714442752 is about 893.9690393614.

The spelling of 714442752 in words is "seven hundred fourteen million, four hundred forty-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 83 96 128 144 166 192 249 256 288 332 384 467 498 512 576 664 747 768 934 996 1024 1152 1328 1401 1494 1536 1868 1992 2048 2304 2656 2802 2988 3072 3736 3984 4203 4608 5312 5604 5976 6144 7472 7968 8406 9216 10624 11208 11952 14944 15936 16812 18432 21248 22416 23904 29888 31872 33624 38761 42496 44832 47808 59776 63744 67248 77522 84992 89664 95616 116283 119552 127488 134496 155044 169984 179328 191232 232566 239104 254976 268992 310088 348849 358656 382464 465132 478208 509952 537984 620176 697698 717312 764928 930264 956416 1075968 1240352 1395396 1434624 1529856 1860528 2151936 2480704 2790792 2869248 3721056 4303872 4961408 5581584 7442112 8607744 9922816 11163168 14884224 19845632 22326336 29768448 39691264 44652672 59536896 79382528 89305344 119073792 178610688 238147584 357221376 714442752