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40883136 = 2637191601
BaseRepresentation
bin1001101111110…
…1001111000000
32211221002010020
42123331033000
540431230021
64020133440
71004333550
oct233751700
984832106
1040883136
1121094118
1211837280
138615808
145603160
1538c87c6
hex26fd3c0

40883136 has 112 divisors (see below), whose sum is σ = 130210560. Its totient is φ = 11059200.

The previous prime is 40883119. The next prime is 40883137. The reversal of 40883136 is 63138804.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 40883097 and 40883106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40883137) 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, 24736 + ... + 26336.

Almost surely, 240883136 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 40883136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65105280).

40883136 is an abundant number, since it is smaller than the sum of its proper divisors (89327424).

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

40883136 is a wasteful number, since it uses less digits than its factorization.

40883136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 40883136 is about 6393.9921801641. The cubic root of 40883136 is about 344.4937923824.

The spelling of 40883136 in words is "forty million, eight hundred eighty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 133 152 168 192 224 228 266 304 336 399 448 456 532 608 672 798 912 1064 1216 1344 1596 1601 1824 2128 3192 3202 3648 4256 4803 6384 6404 8512 9606 11207 12768 12808 19212 22414 25536 25616 30419 33621 38424 44828 51232 60838 67242 76848 89656 91257 102464 121676 134484 153696 179312 182514 212933 243352 268968 307392 358624 365028 425866 486704 537936 638799 717248 730056 851732 973408 1075872 1277598 1460112 1703464 1946816 2151744 2555196 2920224 3406928 5110392 5840448 6813856 10220784 13627712 20441568 40883136