[go: up one dir, main page]

Search a number
-
+
45052176 = 243131731137
BaseRepresentation
bin1010101111011…
…1000100010000
310010202212222010
42223313010100
543013132201
64245342520
71054636311
oct253670420
9103685863
1045052176
1123481404
1213107a40
1394452c0
145daa608
153e4dbd6
hex2af7110

45052176 has 160 divisors (see below), whose sum is σ = 137991168. Its totient is φ = 12533760.

The previous prime is 45052171. The next prime is 45052177. The reversal of 45052176 is 67125054.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45052171) 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, 328780 + ... + 328916.

Almost surely, 245052176 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 45052176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68995584).

45052176 is an abundant number, since it is smaller than the sum of its proper divisors (92938992).

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

45052176 is a wasteful number, since it uses less digits than its factorization.

45052176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 45052176 is about 6712.0917752963. The cubic root of 45052176 is about 355.8267473267.

The spelling of 45052176 in words is "forty-five million, fifty-two thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 31 34 39 48 51 52 62 68 78 93 102 104 124 136 137 156 186 204 208 221 248 272 274 312 372 403 408 411 442 496 527 548 624 663 744 806 816 822 884 1054 1096 1209 1326 1488 1581 1612 1644 1768 1781 2108 2192 2329 2418 2652 3162 3224 3288 3536 3562 4216 4247 4658 4836 5304 5343 6324 6448 6576 6851 6987 7124 8432 8494 9316 9672 10608 10686 12648 12741 13702 13974 14248 16988 18632 19344 20553 21372 25296 25482 27404 27948 28496 30277 33976 37264 41106 42744 50964 54808 55211 55896 60554 67952 72199 82212 85488 90831 101928 109616 110422 111792 121108 144398 164424 165633 181662 203856 216597 220844 242216 288796 328848 331266 363324 433194 441688 484432 577592 662532 726648 866388 883376 938587 1155184 1325064 1453296 1732776 1877174 2650128 2815761 3465552 3754348 5631522 7508696 11263044 15017392 22526088 45052176