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40933144 = 23717193173
BaseRepresentation
bin1001110000100…
…1011100011000
32212000121201101
42130021130120
540434330034
64021201144
71004632420
oct234113430
985017641
1040933144
112111874a
12118601b4
1386324c5
145617480
1538d8514
hex2709718

40933144 has 128 divisors (see below), whose sum is σ = 102297600. Its totient is φ = 14929920.

The previous prime is 40933141. The next prime is 40933153. The reversal of 40933144 is 44133904.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40933141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 560692 + ... + 560764.

It is an arithmetic number, because the mean of its divisors is an integer number (799200).

Almost surely, 240933144 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 40933144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51148800).

40933144 is an abundant number, since it is smaller than the sum of its proper divisors (61364456).

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

40933144 is a wasteful number, since it uses less digits than its factorization.

40933144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 40933144 is about 6397.9015309709. The cubic root of 40933144 is about 344.6341960456.

The spelling of 40933144 in words is "forty million, nine hundred thirty-three thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 17 19 28 31 34 38 56 62 68 73 76 119 124 133 136 146 152 217 238 248 266 292 323 434 476 511 527 532 584 589 646 868 952 1022 1054 1064 1178 1241 1292 1387 1736 2044 2108 2261 2263 2356 2482 2584 2774 3689 4088 4123 4216 4522 4526 4712 4964 5548 7378 8246 8687 9044 9052 9709 9928 10013 11096 14756 15841 16492 17374 18088 18104 19418 20026 23579 29512 31682 32984 34748 38471 38836 40052 42997 47158 63364 69496 70091 76942 77672 80104 85994 94316 126728 140182 153884 165053 171988 188632 269297 280364 300979 307768 330106 343976 538594 560728 601958 660212 730949 1077188 1203916 1320424 1461898 2154376 2407832 2923796 5116643 5847592 10233286 20466572 40933144