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56982480 = 24352331019
BaseRepresentation
bin1101100101011…
…1101111010000
310222020000021020
43121113233100
5104041414410
65353155440
71261225452
oct331275720
9128200236
1056982480
112a18a865
12170bbb80
13ba61659
1477d42d2
155008a70
hex3657bd0

56982480 has 80 divisors (see below), whose sum is σ = 177577920. Its totient is φ = 15115264.

The previous prime is 56982467. The next prime is 56982481. The reversal of 56982480 is 8428965.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56982481) 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, 55411 + ... + 56429.

It is an arithmetic number, because the mean of its divisors is an integer number (2219724).

Almost surely, 256982480 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 56982480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88788960).

56982480 is an abundant number, since it is smaller than the sum of its proper divisors (120595440).

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

56982480 is a wasteful number, since it uses less digits than its factorization.

56982480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 56982480 is about 7548.6740557531. The cubic root of 56982480 is about 384.8106788299.

The spelling of 56982480 in words is "fifty-six million, nine hundred eighty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 233 240 466 699 932 1019 1165 1398 1864 2038 2330 2796 3057 3495 3728 4076 4660 5095 5592 6114 6990 8152 9320 10190 11184 12228 13980 15285 16304 18640 20380 24456 27960 30570 40760 48912 55920 61140 81520 122280 237427 244560 474854 712281 949708 1187135 1424562 1899416 2374270 2849124 3561405 3798832 4748540 5698248 7122810 9497080 11396496 14245620 18994160 28491240 56982480