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541997952 = 2731974287
BaseRepresentation
bin100000010011100…
…011101110000000
31101202212100102020
4200103203232000
52102222413302
6125440521440
716300622646
oct4023435600
91352770366
10541997952
11258a420a1
12131620280
138839b162
1451da9196
15328b1ebc
hex204e3b80

541997952 has 64 divisors (see below), whose sum is σ = 1515475200. Its totient is φ = 171154944.

The previous prime is 541997947. The next prime is 541997969. The reversal of 541997952 is 259799145.

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

It is a junction number, because it is equal to n+sod(n) for n = 541997895 and 541997904.

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, 29848 + ... + 44439.

It is an arithmetic number, because the mean of its divisors is an integer number (23679300).

Almost surely, 2541997952 is an apocalyptic number.

It is an amenable number.

541997952 is an abundant number, since it is smaller than the sum of its proper divisors (973477248).

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

541997952 is a wasteful number, since it uses less digits than its factorization.

541997952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74323 (or 74311 counting only the distinct ones).

The product of its digits is 1020600, while the sum is 51.

The square root of 541997952 is about 23280.8494690379. The cubic root of 541997952 is about 815.3283592885.

The spelling of 541997952 in words is "five hundred forty-one million, nine hundred ninety-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 3648 7296 74287 148574 222861 297148 445722 594296 891444 1188592 1411453 1782888 2377184 2822906 3565776 4234359 4754368 5645812 7131552 8468718 9508736 11291624 14263104 16937436 22583248 28526208 33874872 45166496 67749744 90332992 135499488 180665984 270998976 541997952