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55994880 = 293523317
BaseRepresentation
bin1101010110011…
…0101000000000
310220100211112110
43111212220000
5103313314010
65320055320
71246643244
oct325465000
9126324473
1055994880
1129675867
1216904540
13b7a6c86
147618424
154db1120
hex3566a00

55994880 has 160 divisors (see below), whose sum is σ = 187380864. Its totient is φ = 14237696.

The previous prime is 55994879. The next prime is 55994893. The reversal of 55994880 is 8849955.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 176482 + ... + 176798.

Almost surely, 255994880 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 55994880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93690432).

55994880 is an abundant number, since it is smaller than the sum of its proper divisors (131385984).

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

55994880 is a wasteful number, since it uses less digits than its factorization.

55994880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 48.

The square root of 55994880 is about 7482.9726713386. The cubic root of 55994880 is about 382.5745764281.

The spelling of 55994880 in words is "fifty-five million, nine hundred ninety-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 128 138 160 184 192 230 240 256 276 317 320 345 368 384 460 480 512 552 634 640 690 736 768 920 951 960 1104 1268 1280 1380 1472 1536 1585 1840 1902 1920 2208 2536 2560 2760 2944 3170 3680 3804 3840 4416 4755 5072 5520 5888 6340 7291 7360 7608 7680 8832 9510 10144 11040 11776 12680 14582 14720 15216 17664 19020 20288 21873 22080 25360 29164 29440 30432 35328 36455 38040 40576 43746 44160 50720 58328 58880 60864 72910 76080 81152 87492 88320 101440 109365 116656 121728 145820 152160 162304 174984 176640 202880 218730 233312 243456 291640 304320 349968 405760 437460 466624 486912 583280 608640 699936 811520 874920 933248 1166560 1217280 1399872 1749840 1866496 2333120 2434560 2799744 3499680 3732992 4666240 5599488 6999360 9332480 11198976 13998720 18664960 27997440 55994880