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40869312 = 2631137523
BaseRepresentation
bin1001101111100…
…1110111000000
32211220101011020
42123321313000
540430304222
64015545440
71004245341
oct233716700
984811136
1040869312
11210847a0
121182b280
13860c433
1455dc0c8
1538c465c
hex26f9dc0

40869312 has 112 divisors (see below), whose sum is σ = 121383552. Its totient is φ = 12026880.

The previous prime is 40869299. The next prime is 40869317. The reversal of 40869312 is 21396804.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40869317) 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, 77883 + ... + 78405.

Almost surely, 240869312 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 40869312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60691776).

40869312 is an abundant number, since it is smaller than the sum of its proper divisors (80514240).

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

40869312 is a wasteful number, since it uses less digits than its factorization.

40869312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 40869312 is about 6392.9110739944. The cubic root of 40869312 is about 344.4549595896.

The spelling of 40869312 in words is "forty million, eight hundred sixty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 64 66 74 88 96 111 132 148 176 192 222 264 296 352 407 444 523 528 592 704 814 888 1046 1056 1184 1221 1569 1628 1776 2092 2112 2368 2442 3138 3256 3552 4184 4884 5753 6276 6512 7104 8368 9768 11506 12552 13024 16736 17259 19351 19536 23012 25104 26048 33472 34518 38702 39072 46024 50208 58053 69036 77404 78144 92048 100416 116106 138072 154808 184096 212861 232212 276144 309616 368192 425722 464424 552288 619232 638583 851444 928848 1104576 1238464 1277166 1702888 1857696 2554332 3405776 3715392 5108664 6811552 10217328 13623104 20434656 40869312