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40159872 = 273271491
BaseRepresentation
bin1001100100110…
…0101010000000
32210120022222200
42121030222000
540240103442
63552433200
7665232114
oct231145200
983508880
1040159872
112073a785
1211548800
13842154c
145495744
1537d434c
hex264ca80

40159872 has 96 divisors (see below), whose sum is σ = 117430560. Its totient is φ = 13171200.

The previous prime is 40159871. The next prime is 40159883. The reversal of 40159872 is 27895104.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×401598722 = 3225630638112768, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (40159871) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81547 + ... + 82037.

It is an arithmetic number, because the mean of its divisors is an integer number (1223235).

Almost surely, 240159872 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 40159872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58715280).

40159872 is an abundant number, since it is smaller than the sum of its proper divisors (77270688).

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

40159872 is a wasteful number, since it uses less digits than its factorization.

40159872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 40159872 is about 6337.1817079834. The cubic root of 40159872 is about 342.4502124515.

The spelling of 40159872 in words is "forty million, one hundred fifty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 71 72 96 128 142 144 192 213 284 288 384 426 491 568 576 639 852 982 1136 1152 1278 1473 1704 1964 2272 2556 2946 3408 3928 4419 4544 5112 5892 6816 7856 8838 9088 10224 11784 13632 15712 17676 20448 23568 27264 31424 34861 35352 40896 47136 62848 69722 70704 81792 94272 104583 139444 141408 188544 209166 278888 282816 313749 418332 557776 565632 627498 836664 1115552 1254996 1673328 2231104 2509992 3346656 4462208 5019984 6693312 10039968 13386624 20079936 40159872