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40460583408 = 2437261927791
BaseRepresentation
bin100101101011101000…
…111000000111110000
310212102202201121011020
4211223220320013300
51130330402132113
630330510415440
72631436166400
oct455350700760
9125382647136
1040460583408
1116182a43193
127a12201580
133a7a61651b
141d5b822800
1510bc166023
hex96ba381f0

40460583408 has 120 divisors (see below), whose sum is σ = 121788990720. Its totient is φ = 11541075840.

The previous prime is 40460583403. The next prime is 40460583409. The reversal of 40460583408 is 80438506404.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 40460583408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40460583403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1441993 + ... + 1469783.

It is an arithmetic number, because the mean of its divisors is an integer number (1014908256).

Almost surely, 240460583408 is an apocalyptic number.

40460583408 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 40460583408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60894495360).

40460583408 is an abundant number, since it is smaller than the sum of its proper divisors (81328407312).

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

40460583408 is a wasteful number, since it uses less digits than its factorization.

40460583408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28435 (or 28422 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 40460583408 in words is "forty billion, four hundred sixty million, five hundred eighty-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 619 784 1176 1238 1857 2352 2476 3714 4333 4952 7428 8666 9904 12999 14856 17332 25998 27791 29712 30331 34664 51996 55582 60662 69328 83373 90993 103992 111164 121324 166746 181986 194537 207984 222328 242648 333492 363972 389074 444656 485296 583611 666984 727944 778148 1167222 1333968 1361759 1455888 1556296 2334444 2723518 3112592 4085277 4668888 5447036 8170554 9337776 10894072 16341108 17202629 21788144 32682216 34405258 51607887 65364432 68810516 103215774 120418403 137621032 206431548 240836806 275242064 361255209 412863096 481673612 722510418 825726192 842928821 963347224 1445020836 1685857642 1926694448 2528786463 2890041672 3371715284 5057572926 5780083344 6743430568 10115145852 13486861136 20230291704 40460583408