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709628448 = 25353211661
BaseRepresentation
bin101010010011000…
…001001000100000
31211110021212020010
4222103001020200
52423131102243
6154225444520
723404512414
oct5223011040
91743255203
10709628448
113346263a1
121797a0740
13b4030ab9
146a362d44
1542475433
hex2a4c1220

709628448 has 96 divisors (see below), whose sum is σ = 1909801152. Its totient is φ = 230630400.

The previous prime is 709628431. The next prime is 709628461. The reversal of 709628448 is 844826907.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 709628397 and 709628406.

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, 1073238 + ... + 1073898.

It is an arithmetic number, because the mean of its divisors is an integer number (19893762).

Almost surely, 2709628448 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 709628448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954900576).

709628448 is an abundant number, since it is smaller than the sum of its proper divisors (1200172704).

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

709628448 is a wasteful number, since it uses less digits than its factorization.

709628448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 709628448 is about 26638.8522275266. The cubic root of 709628448 is about 891.9564954283.

The spelling of 709628448 in words is "seven hundred nine million, six hundred twenty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 211 212 318 422 424 633 636 661 844 848 1266 1272 1322 1688 1696 1983 2532 2544 2644 3376 3966 5064 5088 5288 6752 7932 10128 10576 11183 15864 20256 21152 22366 31728 33549 35033 44732 63456 67098 70066 89464 105099 134196 139471 140132 178928 210198 268392 278942 280264 357856 418413 420396 536784 557884 560528 836826 840792 1073568 1115768 1121056 1673652 1681584 2231536 3347304 3363168 4463072 6694608 7391963 13389216 14783926 22175889 29567852 44351778 59135704 88703556 118271408 177407112 236542816 354814224 709628448