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1454812164 = 22341321632
BaseRepresentation
bin101011010110110…
…1010110000000100
310202101111010010000
41112231222300010
510434412442124
6400205401300
751023461611
oct12655526004
93671433100
101454812164
11687226a03
12347269230
131a2530300
14db2dd508
1587ac06c9
hex56b6ac04

1454812164 has 135 divisors (see below), whose sum is σ = 4143641733. Its totient is φ = 444888288.

The previous prime is 1454812141. The next prime is 1454812189. The reversal of 1454812164 is 4612184541.

The square root of 1454812164 is 38142.

It is a perfect power (a square), and thus also a powerful number.

1454812164 is a `hidden beast` number, since 14 + 5 + 481 + 2 + 164 = 666.

It can be written as a sum of positive squares in only one way, i.e., 215208900 + 1239603264 = 14670^2 + 35208^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 8925147 + ... + 8925309.

Almost surely, 21454812164 is an apocalyptic number.

1454812164 is the 38142-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1454812164

1454812164 is an abundant number, since it is smaller than the sum of its proper divisors (2688829569).

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

1454812164 is a wasteful number, since it uses less digits than its factorization.

1454812164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 181 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The cubic root of 1454812164 is about 1133.1019176485.

Multiplying 1454812164 by its sum of digits (36), we get a square (52373237904 = 2288522).

1454812164 divided by its sum of digits (36) gives a square (40411449 = 63572).

The spelling of 1454812164 in words is "one billion, four hundred fifty-four million, eight hundred twelve thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 163 169 234 324 326 338 351 468 489 507 652 676 702 978 1014 1053 1404 1467 1521 1956 2028 2106 2119 2934 3042 4212 4238 4401 4563 5868 6084 6357 8476 8802 9126 12714 13203 13689 17604 18252 19071 25428 26406 26569 27378 27547 38142 52812 53138 54756 55094 57213 76284 79707 82641 106276 110188 114426 159414 165282 171639 228852 239121 247923 318828 330564 343278 345397 478242 495846 686556 690794 717363 743769 956484 991692 1036191 1381588 1434726 1487538 2072382 2152089 2231307 2869452 2975076 3108573 4144764 4304178 4462614 4490161 6217146 8608356 8925228 8980322 9325719 12434292 13470483 17960644 18651438 26940966 27977157 37302876 40411449 53881932 55954314 80822898 111908628 121234347 161645796 242468694 363703041 484937388 727406082 1454812164