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40047072 = 2531332089
BaseRepresentation
bin1001100011000…
…1000111100000
32210100121020220
42120301013200
540223001242
63550203040
7664252212
oct230610740
983317226
1040047072
1120672a5a
12114b3480
1383b20c0
1454665b2
1537b0bec
hex26311e0

40047072 has 48 divisors (see below), whose sum is σ = 113213520. Its totient is φ = 12321792.

The previous prime is 40047031. The next prime is 40047083. The reversal of 40047072 is 27074004.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 14797 + ... + 17292.

It is an arithmetic number, because the mean of its divisors is an integer number (2358615).

Almost surely, 240047072 is an apocalyptic number.

It is an amenable number.

40047072 is an abundant number, since it is smaller than the sum of its proper divisors (73166448).

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

40047072 is a wasteful number, since it uses less digits than its factorization.

40047072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32115 (or 32107 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 24.

The square root of 40047072 is about 6328.2755945044. The cubic root of 40047072 is about 342.1292900588.

The spelling of 40047072 in words is "forty million, forty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 32089 64178 96267 128356 192534 256712 385068 417157 513424 770136 834314 1026848 1251471 1540272 1668628 2502942 3080544 3337256 5005884 6674512 10011768 13349024 20023536 40047072