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56189440 = 29547467
BaseRepresentation
bin1101011001011…
…0001000000000
310220201201102101
43112112020000
5103341030230
65324200144
71251413416
oct326261000
9126651371
1056189440
1129798a5a
1216999054
13b8446b8
1476692b6
154dedaca
hex3596200

56189440 has 80 divisors (see below), whose sum is σ = 137884032. Its totient is φ = 21950464.

The previous prime is 56189389. The next prime is 56189449. The reversal of 56189440 is 4498165.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 56189440.

It is not an unprimeable number, because it can be changed into a prime (56189449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120087 + ... + 120553.

Almost surely, 256189440 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 56189440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68942016).

56189440 is an abundant number, since it is smaller than the sum of its proper divisors (81694592).

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

56189440 is an equidigital number, since it uses as much as digits as its factorization.

56189440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 56189440 is about 7495.9615794106. The cubic root of 56189440 is about 383.0171625265.

The spelling of 56189440 in words is "fifty-six million, one hundred eighty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 64 80 94 128 160 188 235 256 320 376 467 470 512 640 752 934 940 1280 1504 1868 1880 2335 2560 3008 3736 3760 4670 6016 7472 7520 9340 12032 14944 15040 18680 21949 24064 29888 30080 37360 43898 59776 60160 74720 87796 109745 119552 120320 149440 175592 219490 239104 298880 351184 438980 597760 702368 877960 1195520 1404736 1755920 2809472 3511840 5618944 7023680 11237888 14047360 28094720 56189440