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54933440 = 265415379
BaseRepresentation
bin1101000110001…
…1011111000000
310211100220111212
43101203133000
5103030332230
65241225252
71234632542
oct321433700
9124326455
1054933440
1129010341
1216492228
13b4c4ac3
14741d692
154c51895
hex34637c0

54933440 has 112 divisors (see below), whose sum is σ = 138257280. Its totient is φ = 20766720.

The previous prime is 54933421. The next prime is 54933451. The reversal of 54933440 is 4433945.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 54933397 and 54933406.

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, 695321 + ... + 695399.

It is an arithmetic number, because the mean of its divisors is an integer number (1234440).

Almost surely, 254933440 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 54933440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69128640).

54933440 is an abundant number, since it is smaller than the sum of its proper divisors (83323840).

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

54933440 is a wasteful number, since it uses less digits than its factorization.

54933440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 54933440 is about 7411.7096543240. The cubic root of 54933440 is about 380.1417753529.

The spelling of 54933440 in words is "fifty-four million, nine hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 53 64 79 80 82 106 158 160 164 205 212 265 316 320 328 395 410 424 530 632 656 790 820 848 1060 1264 1312 1580 1640 1696 2120 2173 2528 2624 3160 3239 3280 3392 4187 4240 4346 5056 6320 6478 6560 8374 8480 8692 10865 12640 12956 13120 16195 16748 16960 17384 20935 21730 25280 25912 32390 33496 34768 41870 43460 51824 64780 66992 69536 83740 86920 103648 129560 133984 139072 167480 171667 173840 207296 259120 267968 334960 343334 347680 518240 669920 686668 695360 858335 1036480 1339840 1373336 1716670 2746672 3433340 5493344 6866680 10986688 13733360 27466720 54933440