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40006464 = 263208367
BaseRepresentation
bin1001100010011…
…1001101000000
32210021112112220
42120213031000
540220201324
63545251040
7664022631
oct230471500
983245486
1040006464
11206454a3
1211493a80
138399784
145455888
1537a3b79
hex2627340

40006464 has 28 divisors (see below), whose sum is σ = 105850944. Its totient is φ = 13335424.

The previous prime is 40006433. The next prime is 40006471. The reversal of 40006464 is 46460004.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 103992 + ... + 104375.

Almost surely, 240006464 is an apocalyptic number.

It is an amenable number.

40006464 is an abundant number, since it is smaller than the sum of its proper divisors (65844480).

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

40006464 is a wasteful number, since it uses less digits than its factorization.

40006464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208382 (or 208372 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 40006464 is about 6325.0663237629. The cubic root of 40006464 is about 342.0136104840.

Adding to 40006464 its reverse (46460004), we get a palindrome (86466468).

It can be divided in two parts, 40006 and 464, that added together give a triangular number (40470 = T284).

The spelling of 40006464 in words is "forty million, six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 208367 416734 625101 833468 1250202 1666936 2500404 3333872 5000808 6667744 10001616 13335488 20003232 40006464