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54377472 = 210331571
BaseRepresentation
bin1100111101101…
…1110000000000
310210022122212110
43033123300000
5102410034342
65221255320
71230125622
oct317336000
9123278773
1054377472
1128770666
1216264540
13b35ba26
147316c12
154b91c9c
hex33dbc00

54377472 has 88 divisors (see below), whose sum is σ = 149873152. Its totient is φ = 17510400.

The previous prime is 54377471. The next prime is 54377473. The reversal of 54377472 is 27477345.

It is an interprime number because it is at equal distance from previous prime (54377471) and next prime (54377473).

It is a super-2 number, since 2×543774722 = 5913818922221568, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 54377472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54377471) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94947 + ... + 95517.

It is an arithmetic number, because the mean of its divisors is an integer number (1703104).

Almost surely, 254377472 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 54377472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74936576).

54377472 is an abundant number, since it is smaller than the sum of its proper divisors (95495680).

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

54377472 is a wasteful number, since it uses less digits than its factorization.

54377472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 607 counting only the distinct ones).

The product of its digits is 164640, while the sum is 39.

The square root of 54377472 is about 7374.1082172694. The cubic root of 54377472 is about 378.8549835869.

The spelling of 54377472 in words is "fifty-four million, three hundred seventy-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 512 571 744 768 992 1024 1142 1488 1536 1713 1984 2284 2976 3072 3426 3968 4568 5952 6852 7936 9136 11904 13704 15872 17701 18272 23808 27408 31744 35402 36544 47616 53103 54816 70804 73088 95232 106206 109632 141608 146176 212412 219264 283216 292352 424824 438528 566432 584704 849648 877056 1132864 1699296 1754112 2265728 3398592 4531456 6797184 9062912 13594368 18125824 27188736 54377472