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46481028 = 223113137307
BaseRepresentation
bin1011000101001…
…1111010000100
310020110110222120
42301103322010
543344343103
64340125540
71103040126
oct261237204
9106413876
1046481028
1124267980
12136968b0
139825789
14625d216
154132253
hex2c53e84

46481028 has 96 divisors (see below), whose sum is σ = 125841408. Its totient is φ = 13219200.

The previous prime is 46480969. The next prime is 46481047. The reversal of 46481028 is 82018464.

It is a Smith number, since the sum of its digits (33) 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 (33).

It is a self number, because there is not a number n which added to its sum of digits gives 46481028.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151251 + ... + 151557.

It is an arithmetic number, because the mean of its divisors is an integer number (1310848).

Almost surely, 246481028 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 46481028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62920704).

46481028 is an abundant number, since it is smaller than the sum of its proper divisors (79360380).

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

46481028 is a wasteful number, since it uses less digits than its factorization.

46481028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 46481028 is about 6817.6996120392. The cubic root of 46481028 is about 359.5494053836.

The spelling of 46481028 in words is "forty-six million, four hundred eighty-one thousand, twenty-eight".

Divisors: 1 2 3 4 6 11 12 22 31 33 37 44 62 66 74 93 111 124 132 148 186 222 307 341 372 407 444 614 682 814 921 1023 1147 1221 1228 1364 1628 1842 2046 2294 2442 3377 3441 3684 4092 4588 4884 6754 6882 9517 10131 11359 12617 13508 13764 19034 20262 22718 25234 28551 34077 37851 38068 40524 45436 50468 57102 68154 75702 104687 114204 124949 136308 151404 209374 249898 314061 352129 374847 418748 499796 628122 704258 749694 1056387 1256244 1408516 1499388 2112774 3873419 4225548 7746838 11620257 15493676 23240514 46481028