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51476880 = 24357132357
BaseRepresentation
bin1100010001011…
…1100110010000
310120212022000010
43010113212100
5101134230010
65035154520
71163355240
oct304274620
9116768003
1051476880
112706a384
12152a5a40
13a8846c0
146b9db20
1547bc620
hex3117990

51476880 has 160 divisors (see below), whose sum is σ = 196487424. Its totient is φ = 10856448.

The previous prime is 51476869. The next prime is 51476881. The reversal of 51476880 is 8867415.

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

It is not an unprimeable number, because it can be changed into a prime (51476881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20662 + ... + 23018.

Almost surely, 251476880 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 51476880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98243712).

51476880 is an abundant number, since it is smaller than the sum of its proper divisors (145010544).

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

51476880 is a wasteful number, since it uses less digits than its factorization.

51476880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2393 (or 2387 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 51476880 is about 7174.7390196439. The cubic root of 51476880 is about 371.9952595072.

The spelling of 51476880 in words is "fifty-one million, four hundred seventy-six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 35 39 40 42 48 52 56 60 65 70 78 80 84 91 104 105 112 120 130 140 156 168 182 195 208 210 240 260 273 280 312 336 364 390 420 455 520 546 560 624 728 780 840 910 1040 1092 1365 1456 1560 1680 1820 2184 2357 2730 3120 3640 4368 4714 5460 7071 7280 9428 10920 11785 14142 16499 18856 21840 23570 28284 30641 32998 35355 37712 47140 49497 56568 61282 65996 70710 82495 91923 94280 98994 113136 122564 131992 141420 153205 164990 183846 188560 197988 214487 245128 247485 263984 282840 306410 329980 367692 395976 428974 459615 490256 494970 565680 612820 643461 659960 735384 791952 857948 919230 989940 1072435 1225640 1286922 1319920 1470768 1715896 1838460 1979880 2144870 2451280 2573844 3217305 3431792 3676920 3959760 4289740 5147688 6434610 7353840 8579480 10295376 12869220 17158960 25738440 51476880