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5741952 = 27319787
BaseRepresentation
bin10101111001110110000000
3101210201110220
4111321312000
52432220302
6323023040
766543246
oct25716600
911721426
105741952
113272017
121b0aa80
131260708
14a96796
157864bc
hex579d80

5741952 has 64 divisors (see below), whose sum is σ = 16075200. Its totient is φ = 1810944.

The previous prime is 5741947. The next prime is 5741963. The reversal of 5741952 is 2591475.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 6903 + ... + 7689.

It is an arithmetic number, because the mean of its divisors is an integer number (251175).

Almost surely, 25741952 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 5741952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8037600).

5741952 is an abundant number, since it is smaller than the sum of its proper divisors (10333248).

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

5741952 is a wasteful number, since it uses less digits than its factorization.

5741952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 811 counting only the distinct ones).

The product of its digits is 12600, while the sum is 33.

The square root of 5741952 is about 2396.2370500433. The cubic root of 5741952 is about 179.0687708454.

The spelling of 5741952 in words is "five million, seven hundred forty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 787 912 1216 1574 1824 2361 2432 3148 3648 4722 6296 7296 9444 12592 14953 18888 25184 29906 37776 44859 50368 59812 75552 89718 100736 119624 151104 179436 239248 302208 358872 478496 717744 956992 1435488 1913984 2870976 5741952