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40049152 = 291113547
BaseRepresentation
bin1001100011000…
…1101000000000
32210100201002221
42120301220000
540223033102
63550220424
7664261243
oct230615000
983321087
1040049152
1120674580
12114b4714
1383b3030
14546725a
1537b1637
hex2631a00

40049152 has 80 divisors (see below), whose sum is σ = 94181472. Its totient is φ = 16773120.

The previous prime is 40049111. The next prime is 40049153. The reversal of 40049152 is 25194004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40049153) 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, 72943 + ... + 73489.

Almost surely, 240049152 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 40049152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47090736).

40049152 is an abundant number, since it is smaller than the sum of its proper divisors (54132320).

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

40049152 is a wasteful number, since it uses less digits than its factorization.

40049152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 40049152 is about 6328.4399341386. The cubic root of 40049152 is about 342.1352132268.

The spelling of 40049152 in words is "forty million, forty-nine thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 128 143 176 208 256 286 352 416 512 547 572 704 832 1094 1144 1408 1664 2188 2288 2816 3328 4376 4576 5632 6017 6656 7111 8752 9152 12034 14222 17504 18304 24068 28444 35008 36608 48136 56888 70016 73216 78221 96272 113776 140032 156442 192544 227552 280064 312884 385088 455104 625768 770176 910208 1251536 1540352 1820416 2503072 3080704 3640832 5006144 10012288 20024576 40049152