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54572672 = 277311113
BaseRepresentation
bin1101000000101…
…1011010000000
310210200120122002
43100023122000
5102432311142
65225403132
71231601000
oct320133200
9123616562
1054572672
1128894290
12163394a8
13b3c982b
147368000
154bcea32
hex340b680

54572672 has 128 divisors (see below), whose sum is σ = 139536000. Its totient is φ = 21073920.

The previous prime is 54572663. The next prime is 54572689. The reversal of 54572672 is 27627545.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 482888 + ... + 483000.

It is an arithmetic number, because the mean of its divisors is an integer number (1090125).

Almost surely, 254572672 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 54572672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69768000).

54572672 is an abundant number, since it is smaller than the sum of its proper divisors (84963328).

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

54572672 is a wasteful number, since it uses less digits than its factorization.

54572672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 133 counting only the distinct ones).

The product of its digits is 117600, while the sum is 38.

The square root of 54572672 is about 7387.3318593387. The cubic root of 54572672 is about 379.3077702312.

The spelling of 54572672 in words is "fifty-four million, five hundred seventy-two thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 112 113 128 154 176 196 224 226 308 343 352 392 448 452 539 616 686 704 784 791 896 904 1078 1232 1243 1372 1408 1568 1582 1808 2156 2464 2486 2744 3136 3164 3616 3773 4312 4928 4972 5488 5537 6272 6328 7232 7546 8624 8701 9856 9944 10976 11074 12656 14464 15092 17248 17402 19888 21952 22148 25312 30184 34496 34804 38759 39776 43904 44296 50624 60368 60907 68992 69608 77518 79552 88592 101248 120736 121814 139216 155036 159104 177184 241472 243628 278432 310072 354368 426349 482944 487256 556864 620144 708736 852698 974512 1113728 1240288 1705396 1949024 2480576 3410792 3898048 4961152 6821584 7796096 13643168 27286336 54572672