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5035212 = 22327132953
BaseRepresentation
bin10011001101010011001100
3100110211000100
4103031103030
52242111322
6255531100
760540630
oct23152314
910424010
105035212
11292a036
121829a90
131073b20
14950dc0
15696dac
hex4cd4cc

5035212 has 144 divisors (see below), whose sum is σ = 16511040. Its totient is φ = 1257984.

The previous prime is 5035207. The next prime is 5035243. The reversal of 5035212 is 2125305.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94978 + ... + 95030.

It is an arithmetic number, because the mean of its divisors is an integer number (114660).

Almost surely, 25035212 is an apocalyptic number.

5035212 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5035212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8255520).

5035212 is an abundant number, since it is smaller than the sum of its proper divisors (11475828).

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

5035212 is a wasteful number, since it uses less digits than its factorization.

5035212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 5035212 is about 2243.9278063253. The cubic root of 5035212 is about 171.3980671914.

The spelling of 5035212 in words is "five million, thirty-five thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 29 36 39 42 52 53 58 63 78 84 87 91 106 116 117 126 156 159 174 182 203 212 234 252 261 273 318 348 364 371 377 406 468 477 522 546 609 636 689 742 754 812 819 954 1044 1092 1113 1131 1218 1378 1484 1508 1537 1638 1827 1908 2067 2226 2262 2436 2639 2756 3074 3276 3339 3393 3654 4134 4452 4524 4611 4823 5278 6148 6201 6678 6786 7308 7917 8268 9222 9646 10556 10759 12402 13356 13572 13833 14469 15834 18444 19292 19981 21518 23751 24804 27666 28938 31668 32277 39962 43036 43407 47502 55332 57876 59943 64554 79924 86814 95004 96831 119886 129108 139867 173628 179829 193662 239772 279734 359658 387324 419601 559468 719316 839202 1258803 1678404 2517606 5035212