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40148472 = 23371331593
BaseRepresentation
bin1001100100100…
…1110111111000
32210112202100110
42121021313320
540234222342
63552304320
7665153640
oct231116770
983482313
1040148472
1120732161
12115420a0
1384192c0
145491520
1537d0c9c
hex2649df8

40148472 has 128 divisors (see below), whose sum is σ = 127733760. Its totient is φ = 10229760.

The previous prime is 40148461. The next prime is 40148489. The reversal of 40148472 is 27484104.

It is a super-2 number, since 2×401484722 = 3223799607869568, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67408 + ... + 68000.

It is an arithmetic number, because the mean of its divisors is an integer number (997920).

Almost surely, 240148472 is an apocalyptic number.

40148472 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40148472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63866880).

40148472 is an abundant number, since it is smaller than the sum of its proper divisors (87585288).

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

40148472 is a wasteful number, since it uses less digits than its factorization.

40148472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 40148472 is about 6336.2821906856. The cubic root of 40148472 is about 342.4178061241.

The spelling of 40148472 in words is "forty million, one hundred forty-eight thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 31 39 42 52 56 62 78 84 91 93 104 124 156 168 182 186 217 248 273 312 364 372 403 434 546 593 651 728 744 806 868 1092 1186 1209 1302 1612 1736 1779 2184 2372 2418 2604 2821 3224 3558 4151 4744 4836 5208 5642 7116 7709 8302 8463 9672 11284 12453 14232 15418 16604 16926 18383 22568 23127 24906 30836 33208 33852 36766 46254 49812 53963 55149 61672 67704 73532 92508 99624 107926 110298 128681 147064 161889 185016 215852 220596 238979 257362 323778 386043 431704 441192 477958 514724 647556 716937 772086 955916 1029448 1295112 1433874 1544172 1672853 1911832 2867748 3088344 3345706 5018559 5735496 6691412 10037118 13382824 20074236 40148472