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1696003552 = 25312131421
BaseRepresentation
bin110010100010110…
…1111010111100000
311101012022220111101
41211011233113200
511433134103202
6440143124144
760012535525
oct14505572740
94335286441
101696003552
117a0393631
123b3ba3654
132104aa4c9
1412136514c
159dd64887
hex6516f5e0

1696003552 has 72 divisors (see below), whose sum is σ = 3484786536. Its totient is φ = 812448000.

The previous prime is 1696003537. The next prime is 1696003567. The reversal of 1696003552 is 2553006961.

It is an interprime number because it is at equal distance from previous prime (1696003537) and next prime (1696003567).

1696003552 is a modest number, since divided by 3552 gives 1696 as remainder.

It is a congruent number.

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, 4028302 + ... + 4028722.

It is an arithmetic number, because the mean of its divisors is an integer number (48399813).

Almost surely, 21696003552 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 1696003552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742393268).

1696003552 is an abundant number, since it is smaller than the sum of its proper divisors (1788782984).

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

1696003552 is a wasteful number, since it uses less digits than its factorization.

1696003552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 37.

The square root of 1696003552 is about 41182.5636890177. The cubic root of 1696003552 is about 1192.5472240805.

The spelling of 1696003552 in words is "one billion, six hundred ninety-six million, three thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 31 32 62 124 131 248 262 421 496 524 842 961 992 1048 1684 1922 2096 3368 3844 4061 4192 6736 7688 8122 13051 13472 15376 16244 26102 30752 32488 52204 55151 64976 104408 110302 125891 129952 208816 220604 251782 404581 417632 441208 503564 809162 882416 1007128 1618324 1709681 1764832 2014256 3236648 3419362 4028512 6473296 6838724 12946592 13677448 27354896 53000111 54709792 106000222 212000444 424000888 848001776 1696003552