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40947456 = 2831137131
BaseRepresentation
bin1001110000110…
…0111100000000
32212001100100110
42130030330000
540440304311
64021351320
71005022224
oct234147400
985040313
1040947456
1121128480
1211868540
138638b84
14561c784
1538dc8a6
hex270cf00

40947456 has 144 divisors (see below), whose sum is σ = 123032448. Its totient is φ = 11980800.

The previous prime is 40947443. The next prime is 40947457. The reversal of 40947456 is 65474904.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40947457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 312511 + ... + 312641.

It is an arithmetic number, because the mean of its divisors is an integer number (854392).

Almost surely, 240947456 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 40947456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61516224).

40947456 is an abundant number, since it is smaller than the sum of its proper divisors (82084992).

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

40947456 is a wasteful number, since it uses less digits than its factorization.

40947456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 40947456 is about 6399.0199249573. The cubic root of 40947456 is about 344.6743577123.

The spelling of 40947456 in words is "forty million, nine hundred forty-seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 64 66 74 88 96 111 128 131 132 148 176 192 222 256 262 264 296 352 384 393 407 444 524 528 592 704 768 786 814 888 1048 1056 1184 1221 1408 1441 1572 1628 1776 2096 2112 2368 2442 2816 2882 3144 3256 3552 4192 4224 4323 4736 4847 4884 5764 6288 6512 7104 8384 8448 8646 9472 9694 9768 11528 12576 13024 14208 14541 16768 17292 19388 19536 23056 25152 26048 28416 29082 33536 34584 38776 39072 46112 50304 52096 53317 58164 69168 77552 78144 92224 100608 104192 106634 116328 138336 155104 156288 159951 184448 213268 232656 276672 310208 312576 319902 368896 426536 465312 553344 620416 639804 853072 930624 1106688 1240832 1279608 1706144 1861248 2559216 3412288 3722496 5118432 6824576 10236864 13649152 20473728 40947456