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40057950 = 23521723683
BaseRepresentation
bin1001100011001…
…1110001011110
32210101011011210
42120303301132
540223323300
63550325250
7664326012
oct230636136
983334153
1040057950
1120680149
12114b9826
1383b703a
14546a542
1537b4050
hex2633c5e

40057950 has 96 divisors (see below), whose sum is σ = 109921536. Its totient is φ = 9602560.

The previous prime is 40057937. The next prime is 40057957. The reversal of 40057950 is 5975004.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40057957) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58309 + ... + 58991.

It is an arithmetic number, because the mean of its divisors is an integer number (1145016).

Almost surely, 240057950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40057950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54960768).

40057950 is an abundant number, since it is smaller than the sum of its proper divisors (69863586).

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

40057950 is a wasteful number, since it uses less digits than its factorization.

40057950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 40057950 is about 6329.1350119902. The cubic root of 40057950 is about 342.1602648201.

The spelling of 40057950 in words is "forty million, fifty-seven thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 23 25 30 34 46 50 51 69 75 85 102 115 138 150 170 230 255 345 391 425 510 575 683 690 782 850 1150 1173 1275 1366 1725 1955 2049 2346 2550 3415 3450 3910 4098 5865 6830 9775 10245 11611 11730 15709 17075 19550 20490 23222 29325 31418 34150 34833 47127 51225 58055 58650 69666 78545 94254 102450 116110 157090 174165 235635 267053 290275 348330 392725 471270 534106 580550 785450 801159 870825 1178175 1335265 1602318 1741650 2356350 2670530 4005795 6676325 8011590 13352650 20028975 40057950