Search a number
-
+
40147712 = 281153269
BaseRepresentation
bin1001100100100…
…1101100000000
32210112201022022
42121021230000
540234211322
63552301012
7665151503
oct231115400
983481268
1040147712
1120731630
1211541768
138418b57
14549113a
1537d0942
hex2649b00

40147712 has 72 divisors (see below), whose sum is σ = 89404560. Its totient is φ = 17838080.

The previous prime is 40147711. The next prime is 40147747. The reversal of 40147712 is 21774104.

It is a super-2 number, since 2×401477122 = 3223677557669888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40147711) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149114 + ... + 149382.

It is an arithmetic number, because the mean of its divisors is an integer number (1241730).

Almost surely, 240147712 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 40147712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44702280).

40147712 is an abundant number, since it is smaller than the sum of its proper divisors (49256848).

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

40147712 is a wasteful number, since it uses less digits than its factorization.

40147712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 26.

The square root of 40147712 is about 6336.2222183254. Note that the first 4 decimals coincide. The cubic root of 40147712 is about 342.4156454842.

The spelling of 40147712 in words is "forty million, one hundred forty-seven thousand, seven hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 53 64 88 106 128 176 212 256 269 352 424 538 583 704 848 1076 1166 1408 1696 2152 2332 2816 2959 3392 4304 4664 5918 6784 8608 9328 11836 13568 14257 17216 18656 23672 28514 34432 37312 47344 57028 68864 74624 94688 114056 149248 156827 189376 228112 313654 378752 456224 627308 757504 912448 1254616 1824896 2509232 3649792 5018464 10036928 20073856 40147712