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54937744 = 241721092
BaseRepresentation
bin1101000110010…
…0100010010000
310211101010102021
43101210202100
5103031001434
65241301224
71234651231
oct321444220
9124333367
1054937744
11290135a4
1216494814
13b4c6a54
147421088
154c52cb4
hex3464890

54937744 has 45 divisors (see below), whose sum is σ = 114118347. Its totient is φ = 25615872.

The previous prime is 54937739. The next prime is 54937747. The reversal of 54937744 is 44773945.

The square root of 54937744 is 7412.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 12531600 + 42406144 = 3540^2 + 6512^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 54937744.

It is not an unprimeable number, because it can be changed into a prime (54937747) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 503962 + ... + 504070.

Almost surely, 254937744 is an apocalyptic number.

54937744 is the 7412-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54937744

54937744 is an abundant number, since it is smaller than the sum of its proper divisors (59180603).

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

54937744 is a wasteful number, since it uses less digits than its factorization.

54937744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 128 counting only the distinct ones).

The product of its digits is 423360, while the sum is 43.

The cubic root of 54937744 is about 380.1517030488.

The spelling of 54937744 in words is "fifty-four million, nine hundred thirty-seven thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 17 34 68 109 136 218 272 289 436 578 872 1156 1744 1853 2312 3706 4624 7412 11881 14824 23762 29648 31501 47524 63002 95048 126004 190096 201977 252008 403954 504016 807908 1615816 3231632 3433609 6867218 13734436 27468872 54937744