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40770048 = 2931119127
BaseRepresentation
bin1001101110000…
…1101000000000
32211201022222210
42123201220000
540414120143
64013502120
71003353054
oct233415000
984638883
1040770048
1121017160
12117a1940
1385a61b7
1455b3c64
1538a5033
hex26e1a00

40770048 has 160 divisors (see below), whose sum is σ = 125706240. Its totient is φ = 11612160.

The previous prime is 40770043. The next prime is 40770077. The reversal of 40770048 is 84007704.

It is a junction number, because it is equal to n+sod(n) for n = 40769997 and 40770024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40770043) 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, 320961 + ... + 321087.

It is an arithmetic number, because the mean of its divisors is an integer number (785664).

Almost surely, 240770048 is an apocalyptic number.

40770048 is a gapful number since it is divisible by the number (48) 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 40770048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62853120).

40770048 is an abundant number, since it is smaller than the sum of its proper divisors (84936192).

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

40770048 is a wasteful number, since it uses less digits than its factorization.

40770048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 40770048 is about 6385.1427548646. The cubic root of 40770048 is about 344.1758610448.

The spelling of 40770048 in words is "forty million, seven hundred seventy thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 64 66 76 88 96 114 127 128 132 152 176 192 209 228 254 256 264 304 352 381 384 418 456 508 512 528 608 627 704 762 768 836 912 1016 1056 1216 1254 1397 1408 1524 1536 1672 1824 2032 2112 2413 2432 2508 2794 2816 3048 3344 3648 4064 4191 4224 4826 4864 5016 5588 5632 6096 6688 7239 7296 8128 8382 8448 9652 9728 10032 11176 12192 13376 14478 14592 16256 16764 16896 19304 20064 22352 24384 26543 26752 28956 29184 32512 33528 38608 40128 44704 48768 53086 53504 57912 65024 67056 77216 79629 80256 89408 97536 106172 107008 115824 134112 154432 159258 160512 178816 195072 212344 231648 268224 308864 318516 321024 357632 424688 463296 536448 617728 637032 715264 849376 926592 1072896 1235456 1274064 1698752 1853184 2145792 2548128 3397504 3706368 5096256 6795008 10192512 13590016 20385024 40770048