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40457472 = 283114789
BaseRepresentation
bin1001101001010…
…1010100000000
32211010110012220
42122111110000
540324114342
64003051040
71000611546
oct232252400
984113186
1040457472
1120923330
1211670a80
1384c6b43
145531d96
1538425ec
hex2695500

40457472 has 72 divisors (see below), whose sum is σ = 117489120. Its totient is φ = 12257280.

The previous prime is 40457413. The next prime is 40457477. The reversal of 40457472 is 27475404.

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 (40457477) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6054 + ... + 10842.

Almost surely, 240457472 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 40457472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58744560).

40457472 is an abundant number, since it is smaller than the sum of its proper divisors (77031648).

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

40457472 is a wasteful number, since it uses less digits than its factorization.

40457472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4819 (or 4805 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 33.

The square root of 40457472 is about 6360.6188378176. The cubic root of 40457472 is about 343.2940271924.

The spelling of 40457472 in words is "forty million, four hundred fifty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 4789 8448 9578 14367 19156 28734 38312 52679 57468 76624 105358 114936 153248 158037 210716 229872 306496 316074 421432 459744 612992 632148 842864 919488 1225984 1264296 1685728 1838976 2528592 3371456 3677952 5057184 6742912 10114368 13485824 20228736 40457472