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54537972 = 22317833221
BaseRepresentation
bin1101000000001…
…0111011110100
310210121211000220
43100002323310
5102430203342
65224534340
71231364556
oct320027364
9123554026
1054537972
1128870205
12163213b0
13b3b6ab8
1473594d6
154bc45ec
hex3402ef4

54537972 has 48 divisors (see below), whose sum is σ = 136406592. Its totient is φ = 16898560.

The previous prime is 54537947. The next prime is 54537979. The reversal of 54537972 is 27973545.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54537979) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15322 + ... + 18542.

It is an arithmetic number, because the mean of its divisors is an integer number (2841804).

Almost surely, 254537972 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 54537972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68203296).

54537972 is an abundant number, since it is smaller than the sum of its proper divisors (81868620).

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

54537972 is a wasteful number, since it uses less digits than its factorization.

54537972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3328 (or 3326 counting only the distinct ones).

The product of its digits is 264600, while the sum is 42.

The square root of 54537972 is about 7384.9828706640. The cubic root of 54537972 is about 379.2273589814.

The spelling of 54537972 in words is "fifty-four million, five hundred thirty-seven thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 83 102 166 204 249 332 498 996 1411 2822 3221 4233 5644 6442 8466 9663 12884 16932 19326 38652 54757 109514 164271 219028 267343 328542 534686 657084 802029 1069372 1604058 3208116 4544831 9089662 13634493 18179324 27268986 54537972