Search a number
-
+
45971388 = 22342331199
BaseRepresentation
bin1010111101011…
…1011110111100
310012111120220000
42233113132330
543232041023
64321154300
71065515241
oct257273674
9105446800
1045971388
1123a49a91
121348b990
1396a7808
1461695c8
154081243
hex2bd77bc

45971388 has 120 divisors (see below), whose sum is σ = 130099200. Its totient is φ = 14113440.

The previous prime is 45971287. The next prime is 45971399. The reversal of 45971388 is 88317954.

It is a super-2 number, since 2×459713882 = 4226737029293088, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 230913 + ... + 231111.

It is an arithmetic number, because the mean of its divisors is an integer number (1084160).

Almost surely, 245971388 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 45971388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65049600).

45971388 is an abundant number, since it is smaller than the sum of its proper divisors (84127812).

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

45971388 is a wasteful number, since it uses less digits than its factorization.

45971388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 258 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 45971388 is about 6780.2203504016. The cubic root of 45971388 is about 358.2304831679.

The spelling of 45971388 in words is "forty-five million, nine hundred seventy-one thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 27 31 36 46 54 62 69 81 92 93 108 124 138 162 186 199 207 276 279 324 372 398 414 558 597 621 713 796 828 837 1116 1194 1242 1426 1674 1791 1863 2139 2388 2484 2511 2852 3348 3582 3726 4278 4577 5022 5373 6169 6417 7164 7452 8556 9154 10044 10746 12338 12834 13731 16119 18308 18507 19251 21492 24676 25668 27462 32238 37014 38502 41193 54924 55521 57753 64476 74028 77004 82386 111042 115506 123579 141887 164772 166563 222084 231012 247158 283774 333126 370737 425661 494316 499689 567548 666252 741474 851322 999378 1276983 1482948 1702644 1998756 2553966 3830949 5107932 7661898 11492847 15323796 22985694 45971388