Search a number
-
+
54963870 = 23513237293
BaseRepresentation
bin1101000110101…
…0111010011110
310211102110020220
43101222322132
5103032320440
65242022210
71235120343
oct321527236
9124373226
1054963870
1129031195
12164a7966
13b505900
14742a7ca
154c5a8d0
hex346ae9e

54963870 has 96 divisors (see below), whose sum is σ = 147202272. Its totient is φ = 13118976.

The previous prime is 54963863. The next prime is 54963871. The reversal of 54963870 is 7836945.

It is a happy number.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54963871) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 187444 + ... + 187736.

It is an arithmetic number, because the mean of its divisors is an integer number (1533357).

Almost surely, 254963870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54963870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73601136).

54963870 is an abundant number, since it is smaller than the sum of its proper divisors (92238402).

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

54963870 is a wasteful number, since it uses less digits than its factorization.

54963870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 54963870 is about 7413.7622028225. The cubic root of 54963870 is about 380.2119547004.

The spelling of 54963870 in words is "fifty-four million, nine hundred sixty-three thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 10 13 15 26 30 37 39 65 74 78 111 130 169 185 195 222 293 338 370 390 481 507 555 586 845 879 962 1014 1110 1443 1465 1690 1758 2405 2535 2886 2930 3809 4395 4810 5070 6253 7215 7618 8790 10841 11427 12506 14430 18759 19045 21682 22854 31265 32523 37518 38090 49517 54205 57135 62530 65046 93795 99034 108410 114270 140933 148551 162615 187590 247585 281866 297102 325230 422799 495170 704665 742755 845598 1409330 1485510 1832129 2113995 3664258 4227990 5496387 9160645 10992774 18321290 27481935 54963870