Search a number
-
+
54697032 = 23341343151
BaseRepresentation
bin1101000010100…
…1110001001000
310210220220020000
43100221301020
5103000301112
65232203000
71232626365
oct320516110
9123826200
1054697032
1128969765
1216399460
13b441310
14739b46c
154c067dc
hex3429c48

54697032 has 160 divisors (see below), whose sum is σ = 169942080. Its totient is φ = 16329600.

The previous prime is 54697031. The next prime is 54697033. The reversal of 54697032 is 23079645.

It is an interprime number because it is at equal distance from previous prime (54697031) and next prime (54697033).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (54697031) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 362157 + ... + 362307.

It is an arithmetic number, because the mean of its divisors is an integer number (1062138).

Almost surely, 254697032 is an apocalyptic number.

54697032 is a gapful number since it is divisible by the number (52) 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 54697032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84971040).

54697032 is an abundant number, since it is smaller than the sum of its proper divisors (115245048).

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

54697032 is a wasteful number, since it uses less digits than its factorization.

54697032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 54697032 is about 7395.7441816223. The cubic root of 54697032 is about 379.5956733584.

The spelling of 54697032 in words is "fifty-four million, six hundred ninety-seven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 43 52 54 72 78 81 86 104 108 117 129 151 156 162 172 216 234 258 302 312 324 344 351 387 453 468 516 559 604 648 702 774 906 936 1032 1053 1118 1161 1208 1359 1404 1548 1677 1812 1963 2106 2236 2322 2718 2808 3096 3354 3483 3624 3926 4077 4212 4472 4644 5031 5436 5889 6493 6708 6966 7852 8154 8424 9288 10062 10872 11778 12231 12986 13416 13932 15093 15704 16308 17667 19479 20124 23556 24462 25972 27864 30186 32616 35334 38958 40248 45279 47112 48924 51944 53001 58437 60372 70668 77916 84409 90558 97848 106002 116874 120744 141336 155832 159003 168818 175311 181116 212004 233748 253227 318006 337636 350622 362232 424008 467496 506454 525933 636012 675272 701244 759681 1012908 1051866 1272024 1402488 1519362 2025816 2103732 2279043 3038724 4207464 4558086 6077448 6837129 9116172 13674258 18232344 27348516 54697032