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40148736 = 28361857
BaseRepresentation
bin1001100100100…
…1111100000000
32210112202201020
42121021330000
540234224421
63552305440
7665154465
oct231117400
983482636
1040148736
1120732381
1211542280
138419464
14549166c
1537d0dc6
hex2649f00

40148736 has 72 divisors (see below), whose sum is σ = 108732624. Its totient is φ = 13148160.

The previous prime is 40148711. The next prime is 40148743. The reversal of 40148736 is 63784104.

It is a super-2 number, since 2×401487362 = 3223842004795392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40148697 and 40148706.

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, 46420 + ... + 47276.

Almost surely, 240148736 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 40148736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54366312).

40148736 is an abundant number, since it is smaller than the sum of its proper divisors (68583888).

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

40148736 is an equidigital number, since it uses as much as digits as its factorization.

40148736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 40148736 is about 6336.3030230569. The cubic root of 40148736 is about 342.4185566558.

The spelling of 40148736 in words is "forty million, one hundred forty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 256 366 384 488 732 768 857 976 1464 1714 1952 2571 2928 3428 3904 5142 5856 6856 7808 10284 11712 13712 15616 20568 23424 27424 41136 46848 52277 54848 82272 104554 109696 156831 164544 209108 219392 313662 329088 418216 627324 658176 836432 1254648 1672864 2509296 3345728 5018592 6691456 10037184 13382912 20074368 40148736