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153049446 = 233111971191
BaseRepresentation
bin10010001111101…
…01100101100110
3101122222201101000
421013311211212
5303140040241
623104214130
73535620204
oct1107654546
9348881330
10153049446
1179435350
124330a346
1325928c04
1416480074
15d682eb6
hex91f5966

153049446 has 128 divisors (see below), whose sum is σ = 398131200. Its totient is φ = 43092000.

The previous prime is 153049439. The next prime is 153049447. The reversal of 153049446 is 644940351.

153049446 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 153049446.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153049447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 801211 + ... + 801401.

It is an arithmetic number, because the mean of its divisors is an integer number (3110400).

Almost surely, 2153049446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153049446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199065600).

153049446 is an abundant number, since it is smaller than the sum of its proper divisors (245081754).

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

153049446 is a wasteful number, since it uses less digits than its factorization.

153049446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 153049446 is about 12371.3154514789. The cubic root of 153049446 is about 534.9057346946.

Adding to 153049446 its reverse (644940351), we get a palindrome (797989797).

The spelling of 153049446 in words is "one hundred fifty-three million, forty-nine thousand, four hundred forty-six".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 71 99 114 142 171 191 198 209 213 297 342 382 418 426 513 573 594 627 639 781 1026 1146 1254 1278 1349 1562 1719 1881 1917 2101 2343 2698 3438 3629 3762 3834 4047 4202 4686 5157 5643 6303 7029 7258 8094 10314 10887 11286 12141 12606 13561 14058 14839 18909 21087 21774 24282 27122 29678 32661 36423 37818 39919 40683 42174 44517 56727 65322 72846 79838 81366 89034 97983 113454 119757 122049 133551 149171 195966 239514 244098 257659 267102 298342 359271 366147 400653 447513 515318 718542 732294 772977 801306 895026 1077813 1342539 1545954 2155626 2318931 2685078 2834249 4027617 4637862 5668498 6956793 8055234 8502747 13913586 17005494 25508241 51016482 76524723 153049446