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5537952 = 253274167
BaseRepresentation
bin10101001000000010100000
3101102100122100
4111020002200
52404203302
6314410400
765033430
oct25100240
911370570
105537952
113142822
121a30a00
1311bb8c4
14a422c0
15745d1c
hex5480a0

5537952 has 144 divisors (see below), whose sum is σ = 18712512. Its totient is φ = 1520640.

The previous prime is 5537947. The next prime is 5537953. The reversal of 5537952 is 2597355.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5537953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82623 + ... + 82689.

It is an arithmetic number, because the mean of its divisors is an integer number (129948).

Almost surely, 25537952 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 5537952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9356256).

5537952 is an abundant number, since it is smaller than the sum of its proper divisors (13174560).

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

5537952 is a wasteful number, since it uses less digits than its factorization.

5537952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 120 counting only the distinct ones).

The product of its digits is 47250, while the sum is 36.

The square root of 5537952 is about 2353.2853630616. The cubic root of 5537952 is about 176.9224979090.

The spelling of 5537952 in words is "five million, five hundred thirty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 41 42 48 56 63 67 72 82 84 96 112 123 126 134 144 164 168 201 224 246 252 268 287 288 328 336 369 402 469 492 504 536 574 603 656 672 738 804 861 938 984 1008 1072 1148 1206 1312 1407 1476 1608 1722 1876 1968 2016 2144 2296 2412 2583 2747 2814 2952 3216 3444 3752 3936 4221 4592 4824 5166 5494 5628 5904 6432 6888 7504 8241 8442 9184 9648 10332 10988 11256 11808 13776 15008 16482 16884 19229 19296 20664 21976 22512 24723 27552 32964 33768 38458 41328 43952 45024 49446 57687 65928 67536 76916 82656 87904 98892 115374 131856 135072 153832 173061 197784 230748 263712 307664 346122 395568 461496 615328 692244 791136 922992 1384488 1845984 2768976 5537952