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40746564 = 2234196619
BaseRepresentation
bin1001101101101…
…1111001000100
32211200010210000
42123123321010
540412342224
64013201300
71003224435
oct233337104
984603700
1040746564
1121000551
1211790230
1385985c1
1455a948c
15389d0c9
hex26dbe44

40746564 has 60 divisors (see below), whose sum is σ = 112142800. Its totient is φ = 12865392.

The previous prime is 40746533. The next prime is 40746571. The reversal of 40746564 is 46564704.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2847 + ... + 9465.

Almost surely, 240746564 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 40746564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56071400).

40746564 is an abundant number, since it is smaller than the sum of its proper divisors (71396236).

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

40746564 is a wasteful number, since it uses less digits than its factorization.

40746564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6654 (or 6643 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 40746564 is about 6383.3035334378. The cubic root of 40746564 is about 344.1097653143.

It can be divided in two parts, 407 and 46564, that added together give a triangular number (46971 = T306).

The spelling of 40746564 in words is "forty million, seven hundred forty-six thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 513 684 1026 1539 2052 3078 6156 6619 13238 19857 26476 39714 59571 79428 119142 125761 178713 238284 251522 357426 377283 503044 536139 714852 754566 1072278 1131849 1509132 2144556 2263698 3395547 4527396 6791094 10186641 13582188 20373282 40746564