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40506432 = 2631131867
BaseRepresentation
bin1001101010000…
…1010001000000
32211012221101020
42122201101000
540332201212
64004105440
71001204361
oct232412100
984187336
1040506432
112095709a
1211695280
138513205
145545b68
153851d8c
hex26a1440

40506432 has 56 divisors (see below), whose sum is σ = 108179616. Its totient is φ = 13375488.

The previous prime is 40506419. The next prime is 40506443. The reversal of 40506432 is 23460504.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20763 + ... + 22629.

Almost surely, 240506432 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 40506432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54089808).

40506432 is an abundant number, since it is smaller than the sum of its proper divisors (67673184).

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

40506432 is a wasteful number, since it uses less digits than its factorization.

40506432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1995 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 40506432 is about 6364.4663562627. The cubic root of 40506432 is about 343.4324515617.

Adding to 40506432 its reverse (23460504), we get a palindrome (63966936).

The spelling of 40506432 in words is "forty million, five hundred six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 192 226 339 452 678 904 1356 1808 1867 2712 3616 3734 5424 5601 7232 7468 10848 11202 14936 21696 22404 29872 44808 59744 89616 119488 179232 210971 358464 421942 632913 843884 1265826 1687768 2531652 3375536 5063304 6751072 10126608 13502144 20253216 40506432