Search a number
-
+
45982524952 = 23713208330323
BaseRepresentation
bin101010110100110001…
…011010011000011000
311101200121020021220201
4222310301122120120
51223133011244302
633042445031544
73215330004340
oct526461323030
9141617207821
1045982524952
1118556a33641
128ab35555b4
13444a640260
142322d4bd20
1512e1d1bc87
hexab4c5a618

45982524952 has 64 divisors (see below), whose sum is σ = 106167962880. Its totient is φ = 18181556352.

The previous prime is 45982524947. The next prime is 45982524997. The reversal of 45982524952 is 25942528954.

It is a super-2 number, since 2×459825249522 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45982524893 and 45982524902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1501263 + ... + 1531585.

It is an arithmetic number, because the mean of its divisors is an integer number (1658874420).

Almost surely, 245982524952 is an apocalyptic number.

It is an amenable number.

45982524952 is an abundant number, since it is smaller than the sum of its proper divisors (60185437928).

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

45982524952 is a wasteful number, since it uses less digits than its factorization.

45982524952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32432 (or 32428 counting only the distinct ones).

The product of its digits is 10368000, while the sum is 55.

The spelling of 45982524952 in words is "forty-five billion, nine hundred eighty-two million, five hundred twenty-four thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 2083 4166 8332 14581 16664 27079 29162 30323 54158 58324 60646 108316 116648 121292 189553 212261 216632 242584 379106 394199 424522 758212 788398 849044 1516424 1576796 1698088 2759393 3153592 5518786 11037572 22075144 63162809 126325618 252651236 442139663 505302472 821116517 884279326 1642233034 1768558652 3284466068 3537117304 5747815619 6568932136 11495631238 22991262476 45982524952