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54972480 = 2635173331
BaseRepresentation
bin1101000110110…
…1000001000000
310211102220001210
43101231001000
5103033104410
65242130120
71235154423
oct321550100
9124386053
1054972480
1129037702
12164b0940
13b5097c4
14742d9ba
154c5d220
hex346d040

54972480 has 112 divisors (see below), whose sum is σ = 176076864. Its totient is φ = 14530560.

The previous prime is 54972457. The next prime is 54972481. The reversal of 54972480 is 8427945.

It is not an unprimeable number, because it can be changed into a prime (54972481) 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, 165915 + ... + 166245.

Almost surely, 254972480 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 54972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88038432).

54972480 is an abundant number, since it is smaller than the sum of its proper divisors (121104384).

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

54972480 is a wasteful number, since it uses less digits than its factorization.

54972480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 54972480 is about 7414.3428569227. The cubic root of 54972480 is about 380.2318068567.

The spelling of 54972480 in words is "fifty-four million, nine hundred seventy-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 173 192 240 320 331 346 480 519 662 692 865 960 993 1038 1324 1384 1655 1730 1986 2076 2595 2648 2768 3310 3460 3972 4152 4965 5190 5296 5536 6620 6920 7944 8304 9930 10380 10592 11072 13240 13840 15888 16608 19860 20760 21184 26480 27680 31776 33216 39720 41520 52960 55360 57263 63552 79440 83040 105920 114526 158880 166080 171789 229052 286315 317760 343578 458104 572630 687156 858945 916208 1145260 1374312 1717890 1832416 2290520 2748624 3435780 3664832 4581040 5497248 6871560 9162080 10994496 13743120 18324160 27486240 54972480