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56367480 = 233513231571
BaseRepresentation
bin1101011100000…
…1100101111000
310221001202122110
43113001211320
5103412224410
65332052320
71253054451
oct327014570
9127052573
1056367480
11298aa7a4
1216a640a0
13b8a7750
1476b4128
154e36720
hex35c1978

56367480 has 128 divisors (see below), whose sum is σ = 190149120. Its totient is φ = 13263360.

The previous prime is 56367449. The next prime is 56367481. The reversal of 56367480 is 8476365.

56367480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56367481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35095 + ... + 36665.

It is an arithmetic number, because the mean of its divisors is an integer number (1485540).

Almost surely, 256367480 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 56367480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95074560).

56367480 is an abundant number, since it is smaller than the sum of its proper divisors (133781640).

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

56367480 is a wasteful number, since it uses less digits than its factorization.

56367480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 56367480 is about 7507.8279149165. The cubic root of 56367480 is about 383.4212745097.

The spelling of 56367480 in words is "fifty-six million, three hundred sixty-seven thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 23 24 26 30 39 40 46 52 60 65 69 78 92 104 115 120 130 138 156 184 195 230 260 276 299 312 345 390 460 520 552 598 690 780 897 920 1196 1380 1495 1560 1571 1794 2392 2760 2990 3142 3588 4485 4713 5980 6284 7176 7855 8970 9426 11960 12568 15710 17940 18852 20423 23565 31420 35880 36133 37704 40846 47130 61269 62840 72266 81692 94260 102115 108399 122538 144532 163384 180665 188520 204230 216798 245076 289064 306345 361330 408460 433596 469729 490152 541995 612690 722660 816920 867192 939458 1083990 1225380 1409187 1445320 1878916 2167980 2348645 2450760 2818374 3757832 4335960 4697290 5636748 7045935 9394580 11273496 14091870 18789160 28183740 56367480