Search a number
-
+
40874496 = 293132389
BaseRepresentation
bin1001101111101…
…1001000000000
32211220122021020
42123323020000
540430440441
64020025440
71004266425
oct233731000
984818236
1040874496
1121088683
1211832280
1386118c0
1455ddd4c
1538c5e66
hex26fb200

40874496 has 160 divisors (see below), whose sum is σ = 123742080. Its totient is φ = 11894784.

The previous prime is 40874447. The next prime is 40874503. The reversal of 40874496 is 69447804.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 459220 + ... + 459308.

It is an arithmetic number, because the mean of its divisors is an integer number (773388).

Almost surely, 240874496 is an apocalyptic number.

40874496 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40874496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61871040).

40874496 is an abundant number, since it is smaller than the sum of its proper divisors (82867584).

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

40874496 is a wasteful number, since it uses less digits than its factorization.

40874496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 40874496 is about 6393.3165102316. The cubic root of 40874496 is about 344.4695229129.

The spelling of 40874496 in words is "forty million, eight hundred seventy-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 48 52 64 69 78 89 92 96 104 128 138 156 178 184 192 208 256 267 276 299 312 356 368 384 416 512 534 552 598 624 712 736 768 832 897 1068 1104 1157 1196 1248 1424 1472 1536 1664 1794 2047 2136 2208 2314 2392 2496 2848 2944 3328 3471 3588 4094 4272 4416 4628 4784 4992 5696 5888 6141 6656 6942 7176 8188 8544 8832 9256 9568 9984 11392 11776 12282 13884 14352 16376 17088 17664 18512 19136 19968 22784 24564 26611 27768 28704 32752 34176 35328 37024 38272 45568 49128 53222 55536 57408 65504 68352 74048 76544 79833 98256 106444 111072 114816 131008 136704 148096 153088 159666 196512 212888 222144 229632 262016 296192 319332 393024 425776 444288 459264 524032 592384 638664 786048 851552 888576 1048064 1277328 1572096 1703104 1777152 2554656 3144192 3406208 5109312 6812416 10218624 13624832 20437248 40874496