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40454496 = 2532197393
BaseRepresentation
bin1001101001010…
…0100101100000
32211010022010200
42122110211200
540324020441
64003025200
71000600065
oct232244540
984108120
1040454496
1120921075
121166b200
1384c5694
145530c6c
1538417b6
hex2694960

40454496 has 72 divisors (see below), whose sum is σ = 121113720. Its totient is φ = 12773376.

The previous prime is 40454437. The next prime is 40454497. The reversal of 40454496 is 69445404.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×404544962 = 3273132493228032, which contains 22 as substring.

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 40454496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40454497) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1776 + ... + 9168.

It is an arithmetic number, because the mean of its divisors is an integer number (1682135).

Almost surely, 240454496 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 40454496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60556860).

40454496 is an abundant number, since it is smaller than the sum of its proper divisors (80659224).

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

40454496 is a wasteful number, since it uses less digits than its factorization.

40454496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7428 (or 7417 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 40454496 is about 6360.3848940139. The cubic root of 40454496 is about 343.2856095625.

The spelling of 40454496 in words is "forty million, four hundred fifty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2736 5472 7393 14786 22179 29572 44358 59144 66537 88716 118288 133074 140467 177432 236576 266148 280934 354864 421401 532296 561868 709728 842802 1064592 1123736 1264203 1685604 2129184 2247472 2528406 3371208 4494944 5056812 6742416 10113624 13484832 20227248 40454496