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45481392 = 24331117563
BaseRepresentation
bin1010110101111…
…1110110110000
310011120200202000
42231133312300
543120401032
64302454000
71061404545
oct255376660
9104520660
1045481392
1123744930
1213294300
139565788
14607cbcc
153ed5e7c
hex2b5fdb0

45481392 has 160 divisors (see below), whose sum is σ = 151061760. Its totient is φ = 12948480.

The previous prime is 45481391. The next prime is 45481463. The reversal of 45481392 is 29318454.

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

It is not an unprimeable number, because it can be changed into a prime (45481391) 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, 80503 + ... + 81065.

It is an arithmetic number, because the mean of its divisors is an integer number (944136).

Almost surely, 245481392 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 45481392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75530880).

45481392 is an abundant number, since it is smaller than the sum of its proper divisors (105580368).

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

45481392 is a wasteful number, since it uses less digits than its factorization.

45481392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 596 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 45481392 is about 6743.9893238350. The cubic root of 45481392 is about 356.9531751311.

The spelling of 45481392 in words is "forty-five million, four hundred eighty-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 27 33 34 36 44 48 51 54 66 68 72 88 99 102 108 132 136 144 153 176 187 198 204 216 264 272 297 306 374 396 408 432 459 528 561 563 594 612 748 792 816 918 1122 1126 1188 1224 1496 1584 1683 1689 1836 2244 2252 2376 2448 2992 3366 3378 3672 4488 4504 4752 5049 5067 6193 6732 6756 7344 8976 9008 9571 10098 10134 12386 13464 13512 15201 18579 19142 20196 20268 24772 26928 27024 28713 30402 37158 38284 40392 40536 49544 55737 57426 60804 74316 76568 80784 81072 86139 99088 105281 111474 114852 121608 148632 153136 167211 172278 210562 222948 229704 243216 258417 297264 315843 334422 344556 421124 445896 459408 516834 631686 668844 689112 842248 891792 947529 1033668 1263372 1337688 1378224 1684496 1895058 2067336 2526744 2675376 2842587 3790116 4134672 5053488 5685174 7580232 11370348 15160464 22740696 45481392