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40962640 = 245539661
BaseRepresentation
bin1001110001000…
…0101001010000
32212002010011211
42130100221100
540441301030
64021545504
71005114415
oct234205120
985063154
1040962640
1121138924
1211875294
138642a64
14562410c
1538e212a
hex2710a50

40962640 has 40 divisors (see below), whose sum is σ = 97045128. Its totient is φ = 16074240.

The previous prime is 40962637. The next prime is 40962667. The reversal of 40962640 is 4626904.

It can be written as a sum of positive squares in 4 ways, for example, as 104976 + 40857664 = 324^2 + 6392^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 591 + ... + 9070.

Almost surely, 240962640 is an apocalyptic number.

40962640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40962640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48522564).

40962640 is an abundant number, since it is smaller than the sum of its proper divisors (56082488).

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

40962640 is a wasteful number, since it uses less digits than its factorization.

40962640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9727 (or 9721 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 40962640 is about 6400.2062466767. The cubic root of 40962640 is about 344.7169561152.

The spelling of 40962640 in words is "forty million, nine hundred sixty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 4240 9661 19322 38644 48305 77288 96610 154576 193220 386440 512033 772880 1024066 2048132 2560165 4096264 5120330 8192528 10240660 20481320 40962640