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40452672 = 2631319853
BaseRepresentation
bin1001101001010…
…0001001000000
32211010012122010
42122110021000
540323441142
64003012520
71000561551
oct232241100
984105563
1040452672
112091a767
121166a140
1384c48c0
145530328
153840e9c
hex2694240

40452672 has 112 divisors (see below), whose sum is σ = 121472960. Its totient is φ = 11778048.

The previous prime is 40452641. The next prime is 40452679. The reversal of 40452672 is 27625404.

It is not an unprimeable number, because it can be changed into a prime (40452679) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46998 + ... + 47850.

It is an arithmetic number, because the mean of its divisors is an integer number (1084580).

Almost surely, 240452672 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 40452672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60736480).

40452672 is an abundant number, since it is smaller than the sum of its proper divisors (81020288).

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

40452672 is a wasteful number, since it uses less digits than its factorization.

40452672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 40452672 is about 6360.2415048487. The cubic root of 40452672 is about 343.2804501660.

The spelling of 40452672 in words is "forty million, four hundred fifty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 114 152 156 192 208 228 247 304 312 416 456 494 608 624 741 832 853 912 988 1216 1248 1482 1706 1824 1976 2496 2559 2964 3412 3648 3952 5118 5928 6824 7904 10236 11089 11856 13648 15808 16207 20472 22178 23712 27296 32414 33267 40944 44356 47424 48621 54592 64828 66534 81888 88712 97242 129656 133068 163776 177424 194484 210691 259312 266136 354848 388968 421382 518624 532272 632073 709696 777936 842764 1037248 1064544 1264146 1555872 1685528 2129088 2528292 3111744 3371056 5056584 6742112 10113168 13484224 20226336 40452672