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40776036 = 22372312237
BaseRepresentation
bin1001101110001…
…1000101100100
32211201122012120
42123203011210
540414313121
64013545540
71003406400
oct233430544
984648176
1040776036
1121020704
12117a52b0
1385a8b42
1455b6100
1538a6bc6
hex26e3164

40776036 has 72 divisors (see below), whose sum is σ = 114299136. Its totient is φ = 11269440.

The previous prime is 40776031. The next prime is 40776041. The reversal of 40776036 is 63067704.

It is an interprime number because it is at equal distance from previous prime (40776031) and next prime (40776041).

It is a super-2 number, since 2×407760362 = 3325370223746592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40775988 and 40776006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40776031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17110 + ... + 19346.

It is an arithmetic number, because the mean of its divisors is an integer number (1587488).

Almost surely, 240776036 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 40776036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57149568).

40776036 is an abundant number, since it is smaller than the sum of its proper divisors (73523100).

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

40776036 is a wasteful number, since it uses less digits than its factorization.

40776036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2289 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 33.

The square root of 40776036 is about 6385.6116386764. The cubic root of 40776036 is about 344.1927102128.

The spelling of 40776036 in words is "forty million, seven hundred seventy-six thousand, thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 49 62 84 93 98 124 147 186 196 217 294 372 434 588 651 868 1302 1519 2237 2604 3038 4474 4557 6076 6711 8948 9114 13422 15659 18228 26844 31318 46977 62636 69347 93954 109613 138694 187908 208041 219226 277388 328839 416082 438452 485429 657678 832164 970858 1315356 1456287 1941716 2912574 3398003 5825148 6796006 10194009 13592012 20388018 40776036