Search a number
-
+
45501984 = 25321153271
BaseRepresentation
bin1010110110010…
…0111000100000
310011121201222200
42231210320200
543122030414
64303133200
71061521563
oct255447040
9104551880
1045501984
1123759350
12132a4200
139571c68
1460864da
153edc109
hex2b64e20

45501984 has 144 divisors (see below), whose sum is σ = 144353664. Its totient is φ = 13478400.

The previous prime is 45501977. The next prime is 45501991. The reversal of 45501984 is 48910554.

It is an interprime number because it is at equal distance from previous prime (45501977) and next prime (45501991).

It is a tau number, because it is divible by the number of its divisors (144).

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 a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 167769 + ... + 168039.

It is an arithmetic number, because the mean of its divisors is an integer number (1002456).

Almost surely, 245501984 is an apocalyptic number.

45501984 is a gapful number since it is divisible by the number (44) 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 45501984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72176832).

45501984 is an abundant number, since it is smaller than the sum of its proper divisors (98851680).

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

45501984 is a wasteful number, since it uses less digits than its factorization.

45501984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 45501984 is about 6745.5158438773. The cubic root of 45501984 is about 357.0070379706.

The spelling of 45501984 in words is "forty-five million, five hundred one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 53 66 72 88 96 99 106 132 144 159 176 198 212 264 271 288 318 352 396 424 477 528 542 583 636 792 813 848 954 1056 1084 1166 1272 1584 1626 1696 1749 1908 2168 2332 2439 2544 2981 3168 3252 3498 3816 4336 4664 4878 5088 5247 5962 6504 6996 7632 8672 8943 9328 9756 10494 11924 13008 13992 14363 15264 17886 18656 19512 20988 23848 26016 26829 27984 28726 35772 39024 41976 43089 47696 53658 55968 57452 71544 78048 83952 86178 95392 107316 114904 129267 143088 157993 167904 172356 214632 229808 258534 286176 315986 344712 429264 459616 473979 517068 631972 689424 858528 947958 1034136 1263944 1378848 1421937 1895916 2068272 2527888 2843874 3791832 4136544 5055776 5687748 7583664 11375496 15167328 22750992 45501984