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40842945 = 32511213577
BaseRepresentation
bin1001101111001…
…1011011000001
32211212000222200
42123303123001
540423433240
64015223413
71004105433
oct233633301
984760880
1040842945
1121066a00
1211817b69
138600430
1455d2653
1538bb930
hex26f36c1

40842945 has 72 divisors (see below), whose sum is σ = 83946408. Its totient is φ = 18247680.

The previous prime is 40842887. The next prime is 40842947. The reversal of 40842945 is 54924804.

It can be written as a sum of positive squares in 4 ways, for example, as 8625969 + 32216976 = 2937^2 + 5676^2 .

It is not a de Polignac number, because 40842945 - 26 = 40842881 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40842947) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 70497 + ... + 71073.

Almost surely, 240842945 is an apocalyptic number.

40842945 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40842945 is an abundant number, since it is smaller than the sum of its proper divisors (43103463).

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

40842945 is a wasteful number, since it uses less digits than its factorization.

40842945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 40842945 is about 6390.8485352103. The cubic root of 40842945 is about 344.3808681558.

The spelling of 40842945 in words is "forty million, eight hundred forty-two thousand, nine hundred forty-five".

Divisors: 1 3 5 9 11 13 15 33 39 45 55 65 99 117 121 143 165 195 363 429 495 577 585 605 715 1089 1287 1573 1731 1815 2145 2885 4719 5193 5445 6347 6435 7501 7865 8655 14157 19041 22503 23595 25965 31735 37505 57123 67509 69817 70785 82511 95205 112515 209451 247533 285615 337545 349085 412555 628353 742599 907621 1047255 1237665 2722863 3141765 3712995 4538105 8168589 13614315 40842945