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40948180 = 225713149151
BaseRepresentation
bin1001110000110…
…1000111010100
32212001101100021
42130031013110
540440320210
64021354524
71005024310
oct234150724
985041307
1040948180
1121128a79
1211868a44
1386392c0
14561cb40
1538dcbda
hex270d1d4

40948180 has 96 divisors (see below), whose sum is σ = 107251200. Its totient is φ = 12787200.

The previous prime is 40948157. The next prime is 40948181. The reversal of 40948180 is 8184904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40948181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 271105 + ... + 271255.

It is an arithmetic number, because the mean of its divisors is an integer number (1117200).

Almost surely, 240948180 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 40948180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53625600).

40948180 is an abundant number, since it is smaller than the sum of its proper divisors (66303020).

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

40948180 is a wasteful number, since it uses less digits than its factorization.

40948180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 40948180 is about 6399.0764958703. The cubic root of 40948180 is about 344.6763891187.

The spelling of 40948180 in words is "forty million, nine hundred forty-eight thousand, one hundred eighty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 149 151 182 260 298 302 364 455 596 604 745 755 910 1043 1057 1490 1510 1820 1937 1963 2086 2114 2980 3020 3874 3926 4172 4228 5215 5285 7748 7852 9685 9815 10430 10570 13559 13741 19370 19630 20860 21140 22499 27118 27482 38740 39260 44998 54236 54964 67795 68705 89996 112495 135590 137410 157493 224990 271180 274820 292487 314986 449980 584974 629972 787465 1169948 1462435 1574930 2047409 2924870 3149860 4094818 5849740 8189636 10237045 20474090 40948180