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40879488 = 2731319431
BaseRepresentation
bin1001101111110…
…0010110000000
32211220220010010
42123330112000
540431120423
64020104520
71004320116
oct233742600
984826103
1040879488
1121091401
1211835140
138613c60
145601ab6
1538c7693
hex26fc580

40879488 has 128 divisors (see below), whose sum is σ = 123379200. Its totient is φ = 11888640.

The previous prime is 40879481. The next prime is 40879499. The reversal of 40879488 is 88497804.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×408794882 = 3342265078284288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40879481) 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, 94633 + ... + 95063.

It is an arithmetic number, because the mean of its divisors is an integer number (963900).

Almost surely, 240879488 is an apocalyptic number.

40879488 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 40879488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61689600).

40879488 is an abundant number, since it is smaller than the sum of its proper divisors (82499712).

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

40879488 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (40879487) it forms an eRAP, since the sums of their prime factors are consecutive (479 and 480).

With its predecessor (40879487) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (468).

40879488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The square root of 40879488 is about 6393.7069060131. The cubic root of 40879488 is about 344.4835456902.

The spelling of 40879488 in words is "forty million, eight hundred seventy-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 114 128 152 156 192 208 228 247 304 312 384 416 431 456 494 608 624 741 832 862 912 988 1216 1248 1293 1482 1664 1724 1824 1976 2432 2496 2586 2964 3448 3648 3952 4992 5172 5603 5928 6896 7296 7904 8189 10344 11206 11856 13792 15808 16378 16809 20688 22412 23712 24567 27584 31616 32756 33618 41376 44824 47424 49134 55168 65512 67236 82752 89648 94848 98268 106457 131024 134472 165504 179296 196536 212914 262048 268944 319371 358592 393072 425828 524096 537888 638742 717184 786144 851656 1048192 1075776 1277484 1572288 1703312 2151552 2554968 3144576 3406624 5109936 6813248 10219872 13626496 20439744 40879488