Search a number
-
+
40748670 = 235541409
BaseRepresentation
bin1001101101110…
…0011001111110
32211200020200000
42123130121332
540412424140
64013215130
71003233534
oct233343176
984606600
1040748670
1121002096
12117914a6
138599551
1455aa154
15389da30
hex26dc67e

40748670 has 96 divisors (see below), whose sum is σ = 112825440. Its totient is φ = 10575360.

The previous prime is 40748651. The next prime is 40748689. The reversal of 40748670 is 7684704.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40748651) and next prime (40748689).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99426 + ... + 99834.

It is an arithmetic number, because the mean of its divisors is an integer number (1175265).

Almost surely, 240748670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40748670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56412720).

40748670 is an abundant number, since it is smaller than the sum of its proper divisors (72076770).

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

40748670 is a wasteful number, since it uses less digits than its factorization.

40748670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 40748670 is about 6383.4684929120. The cubic root of 40748670 is about 344.1156936889.

The spelling of 40748670 in words is "forty million, seven hundred forty-eight thousand, six hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 81 82 90 123 135 162 205 243 246 270 369 405 409 410 486 615 738 810 818 1107 1215 1227 1230 1845 2045 2214 2430 2454 3321 3681 3690 4090 5535 6135 6642 7362 9963 11043 11070 12270 16605 16769 18405 19926 22086 33129 33210 33538 36810 49815 50307 55215 66258 83845 99387 99630 100614 110430 150921 165645 167690 198774 251535 301842 331290 452763 496935 503070 754605 905526 993870 1358289 1509210 2263815 2716578 4074867 4527630 6791445 8149734 13582890 20374335 40748670