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694061472 = 253131394001
BaseRepresentation
bin101001010111101…
…000100110100000
31210100222222100110
4221113220212200
52410134431342
6152512051320
723125265556
oct5127504640
91710888313
10694061472
11326863725
12174533b40
13b0a40380
146826dbd6
1540decc9c
hex295e89a0

694061472 has 96 divisors (see below), whose sum is σ = 1976667840. Its totient is φ = 211968000.

The previous prime is 694061441. The next prime is 694061479. The reversal of 694061472 is 274160496.

It is a happy number.

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 (39).

It is a self number, because there is not a number n which added to its sum of digits gives 694061472.

It is not an unprimeable number, because it can be changed into a prime (694061479) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 171472 + ... + 175472.

It is an arithmetic number, because the mean of its divisors is an integer number (20590290).

Almost surely, 2694061472 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 694061472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988333920).

694061472 is an abundant number, since it is smaller than the sum of its proper divisors (1282606368).

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

694061472 is a wasteful number, since it uses less digits than its factorization.

694061472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4166 (or 4158 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 694061472 is about 26345.0464414091. The cubic root of 694061472 is about 885.3859901383.

The spelling of 694061472 in words is "six hundred ninety-four million, sixty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 139 156 208 278 312 416 417 556 624 834 1112 1248 1668 1807 2224 3336 3614 4001 4448 5421 6672 7228 8002 10842 12003 13344 14456 16004 21684 24006 28912 32008 43368 48012 52013 57824 64016 86736 96024 104026 128032 156039 173472 192048 208052 312078 384096 416104 556139 624156 832208 1112278 1248312 1664416 1668417 2224556 2496624 3336834 4449112 4993248 6673668 7229807 8898224 13347336 14459614 17796448 21689421 26694672 28919228 43378842 53389344 57838456 86757684 115676912 173515368 231353824 347030736 694061472