[go: up one dir, main page]

Search a number
-
+
56450680 = 235111371139
BaseRepresentation
bin1101011101010…
…1111001111000
310221012222202221
43113111321320
5103422410210
65333533424
71253552146
oct327257170
9127188687
1056450680
1129957260
1216aa4274
13b906590
1476d6596
154e511da
hex35d5e78

56450680 has 128 divisors (see below), whose sum is σ = 152409600. Its totient is φ = 18547200.

The previous prime is 56450677. The next prime is 56450689. The reversal of 56450680 is 8605465.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56450689) 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, 406051 + ... + 406189.

It is an arithmetic number, because the mean of its divisors is an integer number (1190700).

Almost surely, 256450680 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 56450680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76204800).

56450680 is an abundant number, since it is smaller than the sum of its proper divisors (95958920).

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

56450680 is a wasteful number, since it uses less digits than its factorization.

56450680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 56450680 is about 7513.3667553235. The cubic root of 56450680 is about 383.6098286635.

The spelling of 56450680 in words is "fifty-six million, four hundred fifty thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 71 88 104 110 130 139 142 143 220 260 278 284 286 355 440 520 556 568 572 695 710 715 781 923 1112 1144 1390 1420 1430 1529 1562 1807 1846 2780 2840 2860 3058 3124 3614 3692 3905 4615 5560 5720 6116 6248 7228 7384 7645 7810 9035 9230 9869 10153 12232 14456 15290 15620 18070 18460 19738 19877 20306 30580 31240 36140 36920 39476 39754 40612 49345 50765 61160 72280 78952 79508 81224 98690 99385 101530 108559 128297 159016 197380 198770 203060 217118 256594 394760 397540 406120 434236 513188 542795 641485 795080 868472 1026376 1085590 1282970 1411267 2171180 2565940 2822534 4342360 5131880 5645068 7056335 11290136 14112670 28225340 56450680