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54491904 = 283267353
BaseRepresentation
bin1100111111011…
…1101100000000
310210112110211200
43033313230000
5102422220104
65223541200
71231113345
oct317675400
9123473750
1054491904
1128839635
12162ba800
13b39bb3c
1473467cc
154bb5b39
hex33f7b00

54491904 has 108 divisors (see below), whose sum is σ = 159910296. Its totient is φ = 17842176.

The previous prime is 54491903. The next prime is 54491917. The reversal of 54491904 is 40919445.

It is a happy number.

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 (54491903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 154192 + ... + 154544.

Almost surely, 254491904 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 54491904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79955148).

54491904 is an abundant number, since it is smaller than the sum of its proper divisors (105418392).

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

54491904 is a wasteful number, since it uses less digits than its factorization.

54491904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 54491904 is about 7381.8631794419. The cubic root of 54491904 is about 379.1205516405.

The spelling of 54491904 in words is "fifty-four million, four hundred ninety-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 67 72 96 128 134 144 192 201 256 268 288 353 384 402 536 576 603 706 768 804 1059 1072 1152 1206 1412 1608 2118 2144 2304 2412 2824 3177 3216 4236 4288 4824 5648 6354 6432 8472 8576 9648 11296 12708 12864 16944 17152 19296 22592 23651 25416 25728 33888 38592 45184 47302 50832 51456 67776 70953 77184 90368 94604 101664 135552 141906 154368 189208 203328 212859 271104 283812 378416 406656 425718 567624 756832 813312 851436 1135248 1513664 1702872 2270496 3027328 3405744 4540992 6054656 6811488 9081984 13622976 18163968 27245952 54491904