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40302976 = 277311451
BaseRepresentation
bin1001100110111…
…1100110000000
32210211121021211
42121233212000
540304143401
63555455504
7666366250
oct231574600
983747254
1040302976
112082824a
12115b7594
13847171c
1454d1960
153811951
hex266f980

40302976 has 64 divisors (see below), whose sum is σ = 94786560. Its totient is φ = 16704000.

The previous prime is 40302967. The next prime is 40302991. The reversal of 40302976 is 67920304.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

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, 27051 + ... + 28501.

It is an arithmetic number, because the mean of its divisors is an integer number (1481040).

Almost surely, 240302976 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 40302976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47393280).

40302976 is an abundant number, since it is smaller than the sum of its proper divisors (54483584).

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

40302976 is a wasteful number, since it uses less digits than its factorization.

40302976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1503 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 40302976 is about 6348.4624910288. The cubic root of 40302976 is about 342.8564878294.

The spelling of 40302976 in words is "forty million, three hundred two thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 434 448 496 868 896 992 1451 1736 1984 2902 3472 3968 5804 6944 10157 11608 13888 20314 23216 27776 40628 44981 46432 81256 89962 92864 162512 179924 185728 314867 325024 359848 629734 650048 719696 1259468 1300096 1439392 2518936 2878784 5037872 5757568 10075744 20151488 40302976