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40378401 = 3272196179
BaseRepresentation
bin1001101000001…
…0000000100001
32210222102202100
42122002000201
540314102101
64001241013
71000132200
oct232020041
983872670
1040378401
1120879988
1211633169
138499b5b
145511237
153828e86
hex2682021

40378401 has 72 divisors (see below), whose sum is σ = 73507200. Its totient is φ = 21228480.

The previous prime is 40378397. The next prime is 40378423. The reversal of 40378401 is 10487304.

It is not a de Polignac number, because 40378401 - 22 = 40378397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (40378001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 511080 + ... + 511158.

Almost surely, 240378401 is an apocalyptic number.

It is an amenable number.

40378401 is a deficient number, since it is larger than the sum of its proper divisors (33128799).

40378401 is a wasteful number, since it uses less digits than its factorization.

40378401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 40378401 is about 6354.4001290444. The cubic root of 40378401 is about 343.0702341251.

The spelling of 40378401 in words is "forty million, three hundred seventy-eight thousand, four hundred one".

Divisors: 1 3 7 9 19 21 49 57 61 63 79 133 147 171 183 237 399 427 441 549 553 711 931 1159 1197 1281 1501 1659 2793 2989 3477 3843 3871 4503 4819 4977 8113 8379 8967 10431 10507 11613 13509 14457 24339 26901 31521 33733 34839 43371 56791 73017 73549 91561 94563 101199 170373 220647 236131 274683 303597 511119 640927 661941 708393 824049 1922781 2125179 4486489 5768343 13459467 40378401