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5633472 = 263133761
BaseRepresentation
bin10101011111010111000000
3101121012200010
4111133113000
52420232342
6320424520
765612055
oct25372700
911535603
105633472
1131a8569
121a78140
131223220
14a6902c
1576429c
hex55f5c0

5633472 has 112 divisors (see below), whose sum is σ = 16755872. Its totient is φ = 1658880.

The previous prime is 5633471. The next prime is 5633479. The reversal of 5633472 is 2743365.

Its product of digits (15120) is a multiple of the sum of its prime factors (126).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5633471) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92322 + ... + 92382.

It is an arithmetic number, because the mean of its divisors is an integer number (149606).

Almost surely, 25633472 is an apocalyptic number.

5633472 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 5633472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8377936).

5633472 is an abundant number, since it is smaller than the sum of its proper divisors (11122400).

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

5633472 is a wasteful number, since it uses less digits than its factorization.

5633472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 116 counting only the distinct ones).

The product of its digits is 15120, while the sum is 30.

The square root of 5633472 is about 2373.4936275457. The cubic root of 5633472 is about 177.9339063626.

It can be divided in two parts, 5633 and 472, that added together give a triangular number (6105 = T110).

The spelling of 5633472 in words is "five million, six hundred thirty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 37 39 48 52 61 64 74 78 96 104 111 122 148 156 183 192 208 222 244 296 312 366 416 444 481 488 592 624 732 793 832 888 962 976 1184 1248 1443 1464 1586 1776 1924 1952 2257 2368 2379 2496 2886 2928 3172 3552 3848 3904 4514 4758 5772 5856 6344 6771 7104 7696 9028 9516 11544 11712 12688 13542 15392 18056 19032 23088 25376 27084 29341 30784 36112 38064 46176 50752 54168 58682 72224 76128 88023 92352 108336 117364 144448 152256 176046 216672 234728 352092 433344 469456 704184 938912 1408368 1877824 2816736 5633472