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5035536 = 2432112172
BaseRepresentation
bin10011001101011000010000
3100110211110100
4103031120100
52242114121
6255532400
760541602
oct23153020
910424410
105035536
11292a300
12182a100
13107400c
14951172
15697026
hex4cd610

5035536 has 135 divisors (see below), whose sum is σ = 16454893. Its totient is φ = 1436160.

The previous prime is 5035529. The next prime is 5035543. The reversal of 5035536 is 6355305.

It is a happy number.

The square root of 5035536 is 2244.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (5035529) and next prime (5035543).

It can be written as a sum of positive squares in only one way, i.e., 3920400 + 1115136 = 1980^2 + 1056^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 296200 + ... + 296216.

Almost surely, 25035536 is an apocalyptic number.

5035536 is the 2244-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5035536

5035536 is an abundant number, since it is smaller than the sum of its proper divisors (11419357).

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

5035536 is a wasteful number, since it uses less digits than its factorization.

5035536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 27.

The cubic root of 5035536 is about 171.4017434208.

The spelling of 5035536 in words is "five million, thirty-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 33 34 36 44 48 51 66 68 72 88 99 102 121 132 136 144 153 176 187 198 204 242 264 272 289 306 363 374 396 408 484 528 561 578 612 726 748 792 816 867 968 1089 1122 1156 1224 1452 1496 1584 1683 1734 1936 2057 2178 2244 2312 2448 2601 2904 2992 3179 3366 3468 4114 4356 4488 4624 5202 5808 6171 6358 6732 6936 8228 8712 8976 9537 10404 12342 12716 13464 13872 16456 17424 18513 19074 20808 24684 25432 26928 28611 32912 34969 37026 38148 41616 49368 50864 57222 69938 74052 76296 98736 104907 114444 139876 148104 152592 209814 228888 279752 296208 314721 419628 457776 559504 629442 839256 1258884 1678512 2517768 5035536