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40248992 = 257319193
BaseRepresentation
bin1001100110001…
…0011010100000
32210201212020102
42121202122200
540300431432
63554401532
7666053000
oct231423240
983655212
1040248992
11207a0733
12115902a8
138452c94
1454ba000
153800962
hex26626a0

40248992 has 96 divisors (see below), whose sum is σ = 97776000. Its totient is φ = 16257024.

The previous prime is 40248953. The next prime is 40249009. The reversal of 40248992 is 29984204.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208448 + ... + 208640.

It is an arithmetic number, because the mean of its divisors is an integer number (1018500).

Almost surely, 240248992 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 40248992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48888000).

40248992 is an abundant number, since it is smaller than the sum of its proper divisors (57527008).

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

40248992 is a wasteful number, since it uses less digits than its factorization.

40248992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 40248992 is about 6344.2093281984. The cubic root of 40248992 is about 342.7033392160.

It can be divided in two parts, 402 and 48992, that added together give a palindrome (49394).

The spelling of 40248992 in words is "forty million, two hundred forty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 76 98 112 133 152 193 196 224 266 304 343 386 392 532 608 686 772 784 931 1064 1351 1372 1544 1568 1862 2128 2702 2744 3088 3667 3724 4256 5404 5488 6176 6517 7334 7448 9457 10808 10976 13034 14668 14896 18914 21616 25669 26068 29336 29792 37828 43232 51338 52136 58672 66199 75656 102676 104272 117344 132398 151312 179683 205352 208544 264796 302624 359366 410704 529592 718732 821408 1059184 1257781 1437464 2118368 2515562 2874928 5031124 5749856 10062248 20124496 40248992