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40872048 = 24371031181
BaseRepresentation
bin1001101111101…
…0100001110000
32211220111220120
42123322201300
540430401143
64020010240
71004256330
oct233724160
984814816
1040872048
1121086858
1211830980
138610759
1455dd0c0
1538c5383
hex26fa870

40872048 has 80 divisors (see below), whose sum is σ = 121944576. Its totient is φ = 11554560.

The previous prime is 40872037. The next prime is 40872053. The reversal of 40872048 is 84027804.

40872048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34018 + ... + 35198.

Almost surely, 240872048 is an apocalyptic number.

40872048 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 40872048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60972288).

40872048 is an abundant number, since it is smaller than the sum of its proper divisors (81072528).

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

40872048 is a wasteful number, since it uses less digits than its factorization.

40872048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 40872048 is about 6393.1250574347. The cubic root of 40872048 is about 344.4626459415.

The spelling of 40872048 in words is "forty million, eight hundred seventy-two thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 103 112 168 206 309 336 412 618 721 824 1181 1236 1442 1648 2163 2362 2472 2884 3543 4326 4724 4944 5768 7086 8267 8652 9448 11536 14172 16534 17304 18896 24801 28344 33068 34608 49602 56688 66136 99204 121643 132272 198408 243286 364929 396816 486572 729858 851501 973144 1459716 1703002 1946288 2554503 2919432 3406004 5109006 5838864 6812008 10218012 13624016 20436024 40872048