Search a number
-
+
40751856 = 24331731179
BaseRepresentation
bin1001101101110…
…1001011110000
32211200102001000
42123131023300
540413024411
64013242000
71003246035
oct233351360
984612030
1040751856
1121004522
1211793300
13859ab32
1455ab38c
15389e956
hex26dd2f0

40751856 has 160 divisors (see below), whose sum is σ = 128563200. Its totient is φ = 12303360.

The previous prime is 40751807. The next prime is 40751857. The reversal of 40751856 is 65815704.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 40751856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40751857) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227575 + ... + 227753.

It is an arithmetic number, because the mean of its divisors is an integer number (803520).

Almost surely, 240751856 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 40751856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64281600).

40751856 is an abundant number, since it is smaller than the sum of its proper divisors (87811344).

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

40751856 is a wasteful number, since it uses less digits than its factorization.

40751856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 40751856 is about 6383.7180388861. The cubic root of 40751856 is about 344.1246618673.

The spelling of 40751856 in words is "forty million, seven hundred fifty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 31 34 36 48 51 54 62 68 72 93 102 108 124 136 144 153 179 186 204 216 248 272 279 306 358 372 408 432 459 496 527 537 558 612 716 744 816 837 918 1054 1074 1116 1224 1432 1488 1581 1611 1674 1836 2108 2148 2232 2448 2864 3043 3162 3222 3348 3672 4216 4296 4464 4743 4833 5549 6086 6324 6444 6696 7344 8432 8592 9129 9486 9666 11098 12172 12648 12888 13392 14229 16647 18258 18972 19332 22196 24344 25296 25776 27387 28458 33294 36516 37944 38664 44392 48688 49941 54774 56916 66588 73032 75888 77328 82161 88784 94333 99882 109548 113832 133176 146064 149823 164322 188666 199764 219096 227664 266352 282999 299646 328644 377332 399528 438192 565998 599292 657288 754664 799056 848997 1131996 1198584 1314576 1509328 1697994 2263992 2397168 2546991 3395988 4527984 5093982 6791976 10187964 13583952 20375928 40751856