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53927424 = 29334783
BaseRepresentation
bin1100110110110…
…1111000000000
310202110210112000
43031231320000
5102301134144
65203504000
71223242545
oct315557000
9122423460
1053927424
1128493521
1216088000
13b231c25
14723abcc
154b03769
hex336de00

53927424 has 160 divisors (see below), whose sum is σ = 164989440. Its totient is φ = 17381376.

The previous prime is 53927399. The next prime is 53927437. The reversal of 53927424 is 42472935.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (60480) is a multiple of the sum of its prime divisors (135).

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, 649687 + ... + 649769.

It is an arithmetic number, because the mean of its divisors is an integer number (1031184).

Almost surely, 253927424 is an apocalyptic number.

53927424 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53927424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82494720).

53927424 is an abundant number, since it is smaller than the sum of its proper divisors (111062016).

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

53927424 is an equidigital number, since it uses as much as digits as its factorization.

53927424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 135 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 53927424 is about 7343.5293966866. The cubic root of 53927424 is about 377.8069056613.

The spelling of 53927424 in words is "fifty-three million, nine hundred twenty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 64 72 83 94 96 108 128 141 144 166 188 192 216 249 256 282 288 332 376 384 423 432 498 512 564 576 664 747 752 768 846 864 996 1128 1152 1269 1328 1494 1504 1536 1692 1728 1992 2241 2256 2304 2538 2656 2988 3008 3384 3456 3901 3984 4482 4512 4608 5076 5312 5976 6016 6768 6912 7802 7968 8964 9024 10152 10624 11703 11952 12032 13536 13824 15604 15936 17928 18048 20304 21248 23406 23904 24064 27072 31208 31872 35109 35856 36096 40608 42496 46812 47808 54144 62416 63744 70218 71712 72192 81216 93624 95616 105327 108288 124832 127488 140436 143424 162432 187248 191232 210654 216576 249664 280872 286848 324864 374496 382464 421308 499328 561744 573696 649728 748992 842616 998656 1123488 1147392 1497984 1685232 1997312 2246976 2995968 3370464 4493952 5991936 6740928 8987904 13481856 17975808 26963712 53927424