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51433920 = 263355953
BaseRepresentation
bin1100010000110…
…1000111000000
310120210010002000
43010031013000
5101131341140
65034224000
71163116056
oct304150700
9116703060
1051433920
112704007a
1215285000
13a86ac95
146b8c1d6
1547aea30
hex310d1c0

51433920 has 112 divisors (see below), whose sum is σ = 181477920. Its totient is φ = 13713408.

The previous prime is 51433913. The next prime is 51433981. The reversal of 51433920 is 2933415.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 5664 + ... + 11616.

Almost surely, 251433920 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 51433920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90738960).

51433920 is an abundant number, since it is smaller than the sum of its proper divisors (130044000).

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

51433920 is a wasteful number, since it uses less digits than its factorization.

51433920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5979 (or 5963 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 51433920 is about 7171.7445576373. The cubic root of 51433920 is about 371.8917478981.

The spelling of 51433920 in words is "fifty-one million, four hundred thirty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 5953 8640 11906 17859 23812 29765 35718 47624 53577 59530 71436 89295 95248 107154 119060 142872 160731 178590 190496 214308 238120 267885 285744 321462 357180 380992 428616 476240 535770 571488 642924 714360 803655 857232 952480 1071540 1142976 1285848 1428720 1607310 1714464 1904960 2143080 2571696 2857440 3214620 3428928 4286160 5143392 5714880 6429240 8572320 10286784 12858480 17144640 25716960 51433920