Search a number
-
+
5532059624 = 2372131763857
BaseRepresentation
bin1010010011011110…
…01000011111101000
3112021112112202011012
411021233020133220
542312201401444
62312535123052
7254042505500
oct51157103750
915245482135
105532059624
112389781303
1210a4813488
136a215a280
143a6a00a00
15225a03b9e
hex149bc87e8

5532059624 has 96 divisors (see below), whose sum is σ = 13758844680. Its totient is φ = 2059739136.

The previous prime is 5532059593. The next prime is 5532059639. The reversal of 5532059624 is 4269502355.

It can be written as a sum of positive squares in 4 ways, for example, as 4870644100 + 661415524 = 69790^2 + 25718^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54704 + ... + 118560.

Almost surely, 25532059624 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 5532059624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6879422340).

5532059624 is an abundant number, since it is smaller than the sum of its proper divisors (8226785056).

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

5532059624 is a wasteful number, since it uses less digits than its factorization.

5532059624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63907 (or 63896 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 41.

The square root of 5532059624 is about 74377.8167466618. The cubic root of 5532059624 is about 1768.5972718097.

The spelling of 5532059624 in words is "five billion, five hundred thirty-two million, fifty-nine thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 17 26 28 34 49 52 56 68 91 98 104 119 136 182 196 221 238 364 392 442 476 637 728 833 884 952 1274 1547 1666 1768 2548 3094 3332 5096 6188 6664 10829 12376 21658 43316 63857 86632 127714 255428 446999 510856 830141 893998 1085569 1660282 1787996 2171138 3128993 3320564 3575992 4342276 5810987 6257986 6641128 7598983 8684552 11621974 12515972 14112397 15197966 23243948 25031944 28224794 30395932 40676909 46487896 53192881 56449588 60791864 81353818 98786779 106385762 112899176 162707636 197573558 212771524 325415272 395147116 425543048 691507453 790294232 1383014906 2766029812 5532059624