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5703203424 = 2533113114629
BaseRepresentation
bin1010100111110111…
…11111101001100000
3112201110120202022110
411103323333221200
543140010002144
62341531235320
7261221300142
oct52373775140
915643522273
105703203424
112467345166
121131ba8b40
136cb7500a9
143c1630c92
15235a5d0b9
hex153effa60

5703203424 has 96 divisors (see below), whose sum is σ = 15572874240. Its totient is φ = 1825574400.

The previous prime is 5703203411. The next prime is 5703203437. The reversal of 5703203424 is 4243023075.

It is an interprime number because it is at equal distance from previous prime (5703203411) and next prime (5703203437).

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

It is a junction number, because it is equal to n+sod(n) for n = 5703203391 and 5703203400.

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, 382542 + ... + 397170.

It is an arithmetic number, because the mean of its divisors is an integer number (162217440).

Almost surely, 25703203424 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 5703203424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7786437120).

5703203424 is an abundant number, since it is smaller than the sum of its proper divisors (9869670816).

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

5703203424 is a wasteful number, since it uses less digits than its factorization.

5703203424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14804 (or 14796 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 30.

The square root of 5703203424 is about 75519.5565664947. The cubic root of 5703203424 is about 1786.6505640736.

Adding to 5703203424 its reverse (4243023075), we get a palindrome (9946226499).

The spelling of 5703203424 in words is "five billion, seven hundred three million, two hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 131 186 248 262 372 393 496 524 744 786 992 1048 1488 1572 2096 2976 3144 4061 4192 6288 8122 12183 12576 14629 16244 24366 29258 32488 43887 48732 58516 64976 87774 97464 117032 129952 175548 194928 234064 351096 389856 453499 468128 702192 906998 1360497 1404384 1813996 1916399 2720994 3627992 3832798 5441988 5749197 7255984 7665596 10883976 11498394 14511968 15331192 21767952 22996788 30662384 43535904 45993576 59408369 61324768 91987152 118816738 178225107 183974304 237633476 356450214 475266952 712900428 950533904 1425800856 1901067808 2851601712 5703203424