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40494432 = 25311311237
BaseRepresentation
bin1001101001111…
…0010101100000
32211012022220210
42122132111200
540331310212
64003534120
71001124366
oct232362540
984168823
1040494432
1120949080
121168a340
13850a904
145541636
15384d53c
hex269e560

40494432 has 96 divisors (see below), whose sum is σ = 119798784. Its totient is φ = 11865600.

The previous prime is 40494431. The next prime is 40494449. The reversal of 40494432 is 23449404.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 40494432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40494431) 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, 32118 + ... + 33354.

It is an arithmetic number, because the mean of its divisors is an integer number (1247904).

Almost surely, 240494432 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 40494432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59899392).

40494432 is an abundant number, since it is smaller than the sum of its proper divisors (79304352).

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

40494432 is a wasteful number, since it uses less digits than its factorization.

40494432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 40494432 is about 6363.5235522468. The cubic root of 40494432 is about 343.3985343437.

The spelling of 40494432 in words is "forty million, four hundred ninety-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 66 88 93 96 124 132 176 186 248 264 341 352 372 496 528 682 744 992 1023 1056 1237 1364 1488 2046 2474 2728 2976 3711 4092 4948 5456 7422 8184 9896 10912 13607 14844 16368 19792 27214 29688 32736 38347 39584 40821 54428 59376 76694 81642 108856 115041 118752 153388 163284 217712 230082 306776 326568 421817 435424 460164 613552 653136 843634 920328 1227104 1265451 1306272 1687268 1840656 2530902 3374536 3681312 5061804 6749072 10123608 13498144 20247216 40494432