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40921088 = 211132953
BaseRepresentation
bin1001110000011…
…0100000000000
32212000000011212
42130012200000
540433433323
64021025252
71004552315
oct234064000
985000155
1040921088
112110a68a
1211855228
138629b80
145612d0c
1538d4b78
hex2706800

40921088 has 96 divisors (see below), whose sum is σ = 92874600. Its totient is φ = 17891328.

The previous prime is 40921081. The next prime is 40921171. The reversal of 40921088 is 88012904.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 32809984 + 8111104 = 5728^2 + 2848^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (40921081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 772070 + ... + 772122.

Almost surely, 240921088 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 40921088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46437300).

40921088 is an abundant number, since it is smaller than the sum of its proper divisors (51953512).

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

40921088 is a wasteful number, since it uses less digits than its factorization.

40921088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 40921088 is about 6396.9592776568. The cubic root of 40921088 is about 344.6003577958.

The spelling of 40921088 in words is "forty million, nine hundred twenty-one thousand, eighty-eight".

Divisors: 1 2 4 8 13 16 26 29 32 52 53 58 64 104 106 116 128 208 212 232 256 377 416 424 464 512 689 754 832 848 928 1024 1378 1508 1537 1664 1696 1856 2048 2756 3016 3074 3328 3392 3712 5512 6032 6148 6656 6784 7424 11024 12064 12296 13312 13568 14848 19981 22048 24128 24592 26624 27136 29696 39962 44096 48256 49184 54272 59392 79924 88192 96512 98368 108544 159848 176384 193024 196736 319696 352768 386048 393472 639392 705536 772096 786944 1278784 1411072 1573888 2557568 3147776 5115136 10230272 20460544 40921088