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40379856 = 24311312467
BaseRepresentation
bin1001101000001…
…0010111010000
32210222111202020
42122002113100
540314123411
64001251440
71000136346
oct232022720
983874666
1040379856
112087aa90
1211633b80
13849a70a
145511996
153829606
hex26825d0

40379856 has 80 divisors (see below), whose sum is σ = 117516288. Its totient is φ = 11836800.

The previous prime is 40379851. The next prime is 40379863. The reversal of 40379856 is 65897304.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40379851) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15135 + ... + 17601.

Almost surely, 240379856 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 40379856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58758144).

40379856 is an abundant number, since it is smaller than the sum of its proper divisors (77136432).

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

40379856 is a wasteful number, since it uses less digits than its factorization.

40379856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2520 (or 2514 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 40379856 is about 6354.5146156099. The cubic root of 40379856 is about 343.0743548199.

The spelling of 40379856 in words is "forty million, three hundred seventy-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 88 93 124 132 176 186 248 264 341 372 496 528 682 744 1023 1364 1488 2046 2467 2728 4092 4934 5456 7401 8184 9868 14802 16368 19736 27137 29604 39472 54274 59208 76477 81411 108548 118416 152954 162822 217096 229431 305908 325644 434192 458862 611816 651288 841247 917724 1223632 1302576 1682494 1835448 2523741 3364988 3670896 5047482 6729976 10094964 13459952 20189928 40379856