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40019928 = 233131943157
BaseRepresentation
bin1001100010101…
…0011111011000
32210022020000120
42120222133120
540221114203
63545433240
7664110114
oct230523730
983266016
1040019928
1120654623
121149b820
1383a2940
14545a744
1537a7b53
hex262a7d8

40019928 has 128 divisors (see below), whose sum is σ = 116793600. Its totient is φ = 11321856.

The previous prime is 40019911. The next prime is 40019933. The reversal of 40019928 is 82991004.

40019928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254826 + ... + 254982.

It is an arithmetic number, because the mean of its divisors is an integer number (912450).

Almost surely, 240019928 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 40019928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58396800).

40019928 is an abundant number, since it is smaller than the sum of its proper divisors (76773672).

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

40019928 is a wasteful number, since it uses less digits than its factorization.

40019928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 40019928 is about 6326.1305708940. The cubic root of 40019928 is about 342.0519739075.

The spelling of 40019928 in words is "forty million, nineteen thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 43 52 57 76 78 86 104 114 129 152 156 157 172 228 247 258 312 314 344 456 471 494 516 559 628 741 817 942 988 1032 1118 1256 1482 1634 1677 1884 1976 2041 2236 2451 2964 2983 3268 3354 3768 4082 4472 4902 5928 5966 6123 6536 6708 6751 8164 8949 9804 10621 11932 12246 13416 13502 16328 17898 19608 20253 21242 23864 24492 27004 31863 35796 38779 40506 42484 48984 54008 63726 71592 77558 81012 84968 87763 116337 127452 128269 155116 162024 175526 232674 254904 256538 263289 310232 351052 384807 465348 513076 526578 702104 769614 930696 1026152 1053156 1539228 1667497 2106312 3078456 3334994 5002491 6669988 10004982 13339976 20009964 40019928