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40245936 = 24317313743
BaseRepresentation
bin1001100110000…
…1101010110000
32210201201001020
42121201222300
540300332221
63554335440
7666041043
oct231415260
983651036
1040245936
1120799405
121158a580
138451783
1454b8c5a
1537eeac6
hex2661ab0

40245936 has 160 divisors (see below), whose sum is σ = 119420928. Its totient is φ = 11612160.

The previous prime is 40245923. The next prime is 40245937. The reversal of 40245936 is 63954204.

It is a junction number, because it is equal to n+sod(n) for n = 40245897 and 40245906.

It is not an unprimeable number, because it can be changed into a prime (40245937) 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, 935931 + ... + 935973.

Almost surely, 240245936 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 40245936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59710464).

40245936 is an abundant number, since it is smaller than the sum of its proper divisors (79174992).

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

40245936 is a wasteful number, since it uses less digits than its factorization.

40245936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 40245936 is about 6343.9684740705. The cubic root of 40245936 is about 342.6946654757.

The spelling of 40245936 in words is "forty million, two hundred forty-five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 34 37 43 48 51 62 68 74 86 93 102 111 124 129 136 148 172 186 204 222 248 258 272 296 344 372 408 444 496 516 527 592 629 688 731 744 816 888 1032 1054 1147 1258 1333 1462 1488 1581 1591 1776 1887 2064 2108 2193 2294 2516 2666 2924 3162 3182 3441 3774 3999 4216 4386 4588 4773 5032 5332 5848 6324 6364 6882 7548 7998 8432 8772 9176 9546 10064 10664 11696 12648 12728 13764 15096 15996 17544 18352 19092 19499 21328 22661 25296 25456 27047 27528 30192 31992 35088 38184 38998 45322 49321 54094 55056 58497 63984 67983 76368 77996 81141 90644 98642 108188 116994 135966 147963 155992 162282 181288 197284 216376 233988 271932 295926 311984 324564 362576 394568 432752 467976 543864 591852 649128 789136 838457 935952 1087728 1183704 1298256 1676914 2367408 2515371 3353828 5030742 6707656 10061484 13415312 20122968 40245936