Search a number
-
+
44957010 = 2357317257
BaseRepresentation
bin1010101101111…
…1110101010010
310010121001102110
42223133311102
543002111020
64243330150
71054062000
oct253376522
9103531373
1044957010
112341695a
1213080956
139410ba7
145d83a70
153e308e0
hex2adfd52

44957010 has 128 divisors (see below), whose sum is σ = 133747200. Its totient is φ = 9633792.

The previous prime is 44956999. The next prime is 44957039. The reversal of 44957010 is 1075944.

It is a happy number.

It is a super-2 number, since 2×449570102 = 4042265496280200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 174802 + ... + 175058.

It is an arithmetic number, because the mean of its divisors is an integer number (1044900).

Almost surely, 244957010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44957010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66873600).

44957010 is an abundant number, since it is smaller than the sum of its proper divisors (88790190).

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

44957010 is a wasteful number, since it uses less digits than its factorization.

44957010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 44957010 is about 6704.9988814317. The cubic root of 44957010 is about 355.5760270693.

The spelling of 44957010 in words is "forty-four million, nine hundred fifty-seven thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 49 51 70 85 98 102 105 119 147 170 210 238 245 255 257 294 343 357 490 510 514 595 686 714 735 771 833 1029 1190 1285 1470 1542 1666 1715 1785 1799 2058 2499 2570 3430 3570 3598 3855 4165 4369 4998 5145 5397 5831 7710 8330 8738 8995 10290 10794 11662 12495 12593 13107 17493 17990 21845 24990 25186 26214 26985 29155 30583 34986 37779 43690 53970 58310 61166 62965 65535 75558 87465 88151 91749 125930 131070 152915 174930 176302 183498 188895 214081 264453 305830 377790 428162 440755 458745 528906 642243 881510 917490 1070405 1284486 1322265 1498567 2140810 2644530 2997134 3211215 4495701 6422430 7492835 8991402 14985670 22478505 44957010