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700083552 = 25377271433
BaseRepresentation
bin101001101110100…
…110110101100000
31210210022221002110
4221232212311200
52413210133202
6153245115320
723230416630
oct5156466540
91723287073
10700083552
1132a1a7153
12176558b40
13b206b42c
1468d9a6c0
15416dc26c
hex29ba6d60

700083552 has 96 divisors (see below), whose sum is σ = 2104607232. Its totient is φ = 199609344.

The previous prime is 700083547. The next prime is 700083589. The reversal of 700083552 is 255380007.

It is a happy number.

700083552 is digitally balanced in base 2, 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 487828 + ... + 489260.

It is an arithmetic number, because the mean of its divisors is an integer number (21922992).

Almost surely, 2700083552 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 700083552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052303616).

700083552 is an abundant number, since it is smaller than the sum of its proper divisors (1404523680).

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

700083552 is a wasteful number, since it uses less digits than its factorization.

700083552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180 (or 2172 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 700083552 is about 26459.0920479143. The cubic root of 700083552 is about 887.9393270777.

The spelling of 700083552 in words is "seven hundred million, eighty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 727 1433 1454 2181 2866 2908 4299 4362 5089 5732 5816 8598 8724 10031 10178 11464 11632 15267 17196 17448 20062 20356 22928 23264 30093 30534 34392 34896 40124 40712 45856 60186 61068 68784 69792 80248 81424 120372 122136 137568 160496 162848 240744 244272 320992 481488 488544 962976 1041791 2083582 3125373 4167164 6250746 7292537 8334328 12501492 14585074 16668656 21877611 25002984 29170148 33337312 43755222 50005968 58340296 87510444 100011936 116680592 175020888 233361184 350041776 700083552