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51855440 = 24571317419
BaseRepresentation
bin1100010111010…
…0000001010000
310121120112021212
43011310001100
5101233333230
65051235252
71166523020
oct305640120
9117515255
1051855440
11272a883a
1215448b28
13a987ac0
146c5ba80
154844895
hex3174050

51855440 has 160 divisors (see below), whose sum is σ = 157489920. Its totient is φ = 15409152.

The previous prime is 51855439. The next prime is 51855443. The reversal of 51855440 is 4455815.

It is a junction number, because it is equal to n+sod(n) for n = 51855397 and 51855406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51855443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123551 + ... + 123969.

It is an arithmetic number, because the mean of its divisors is an integer number (984312).

Almost surely, 251855440 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 51855440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78744960).

51855440 is an abundant number, since it is smaller than the sum of its proper divisors (105634480).

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

51855440 is a wasteful number, since it uses less digits than its factorization.

51855440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 32.

The square root of 51855440 is about 7201.0721423966. The cubic root of 51855440 is about 372.9049153037.

The spelling of 51855440 in words is "fifty-one million, eight hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 17 20 26 28 34 35 40 52 56 65 68 70 80 85 91 104 112 119 130 136 140 170 182 208 221 238 260 272 280 340 364 419 442 455 476 520 560 595 680 728 838 884 910 952 1040 1105 1190 1360 1456 1547 1676 1768 1820 1904 2095 2210 2380 2933 3094 3352 3536 3640 4190 4420 4760 5447 5866 6188 6704 7123 7280 7735 8380 8840 9520 10894 11732 12376 14246 14665 15470 16760 17680 21788 23464 24752 27235 28492 29330 30940 33520 35615 38129 43576 46928 49861 54470 56984 58660 61880 71230 76258 87152 92599 99722 108940 113968 117320 123760 142460 152516 185198 190645 199444 217880 234640 249305 284920 305032 370396 381290 398888 435760 462995 498610 569840 610064 648193 740792 762580 797776 925990 997220 1296386 1481584 1525160 1851980 1994440 2592772 3050320 3240965 3703960 3988880 5185544 6481930 7407920 10371088 12963860 25927720 51855440