Search a number
-
+
40971372 = 223131923601
BaseRepresentation
bin1001110001001…
…0110001101100
32212002120011020
42130102301230
540442040442
64022054140
71005152031
oct234226154
985076136
1040971372
1121144442
121187a350
138646a20
145627388
1538e49ec
hex2712c6c

40971372 has 96 divisors (see below), whose sum is σ = 113272320. Its totient is φ = 11404800.

The previous prime is 40971361. The next prime is 40971383. The reversal of 40971372 is 27317904.

It is an interprime number because it is at equal distance from previous prime (40971361) and next prime (40971383).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67872 + ... + 68472.

It is an arithmetic number, because the mean of its divisors is an integer number (1179920).

Almost surely, 240971372 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 40971372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56636160).

40971372 is an abundant number, since it is smaller than the sum of its proper divisors (72300948).

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

40971372 is a wasteful number, since it uses less digits than its factorization.

40971372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 40971372 is about 6400.8883758428. Note that the first 3 decimals coincide. The cubic root of 40971372 is about 344.7414487961.

The spelling of 40971372 in words is "forty million, nine hundred seventy-one thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 19 23 26 38 39 46 52 57 69 76 78 92 114 138 156 228 247 276 299 437 494 598 601 741 874 897 988 1196 1202 1311 1482 1748 1794 1803 2404 2622 2964 3588 3606 5244 5681 7212 7813 11362 11419 13823 15626 17043 22724 22838 23439 27646 31252 34086 34257 41469 45676 46878 55292 68172 68514 82938 93756 137028 148447 165876 179699 262637 296894 359398 445341 525274 539097 593788 718796 787911 890682 1050548 1078194 1575822 1781364 2156388 3151644 3414281 6828562 10242843 13657124 20485686 40971372