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40883696 = 2472359269
BaseRepresentation
bin1001101111110…
…1010111110000
32211221002212222
42123331113300
540431234241
64020140212
71004335310
oct233752760
984832788
1040883696
1121094587
1211837668
138615b49
145603440
1538c8a4b
hex26fd5f0

40883696 has 80 divisors (see below), whose sum is σ = 96422400. Its totient is φ = 16414464.

The previous prime is 40883681. The next prime is 40883729. The reversal of 40883696 is 69638804.

It is a super-3 number, since 3×408836963 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151850 + ... + 152118.

It is an arithmetic number, because the mean of its divisors is an integer number (1205280).

Almost surely, 240883696 is an apocalyptic number.

40883696 is a gapful number since it is divisible by the number (46) 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 40883696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48211200).

40883696 is an abundant number, since it is smaller than the sum of its proper divisors (55538704).

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

40883696 is a wasteful number, since it uses less digits than its factorization.

40883696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 44.

The square root of 40883696 is about 6394.0359711218. The cubic root of 40883696 is about 344.4953652856.

The spelling of 40883696 in words is "forty million, eight hundred eighty-three thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 59 92 112 118 161 184 236 269 322 368 413 472 538 644 826 944 1076 1288 1357 1652 1883 2152 2576 2714 3304 3766 4304 5428 6187 6608 7532 9499 10856 12374 15064 15871 18998 21712 24748 30128 31742 37996 43309 49496 63484 75992 86618 98992 111097 126968 151984 173236 222194 253936 346472 365033 444388 692944 730066 888776 1460132 1777552 2555231 2920264 5110462 5840528 10220924 20441848 40883696