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40157949 = 3132103769
BaseRepresentation
bin1001100100110…
…0001011111101
32210120020100110
42121030023331
540240023244
63552420233
7665223366
oct231141375
983506313
1040157949
1120739297
1211547679
138420700
145494b6d
1537d39b9
hex264c2fd

40157949 has 24 divisors (see below), whose sum is σ = 58618560. Its totient is φ = 24440832.

The previous prime is 40157939. The next prime is 40157959. The reversal of 40157949 is 94975104.

It is an interprime number because it is at equal distance from previous prime (40157939) and next prime (40157959).

It is not a de Polignac number, because 40157949 - 25 = 40157917 is a prime.

It is a super-2 number, since 2×401579492 = 3225321735773202, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40157939) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51837 + ... + 52605.

It is an arithmetic number, because the mean of its divisors is an integer number (2442440).

Almost surely, 240157949 is an apocalyptic number.

It is an amenable number.

40157949 is a deficient number, since it is larger than the sum of its proper divisors (18460611).

40157949 is a wasteful number, since it uses less digits than its factorization.

40157949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 40157949 is about 6337.0299825707. The cubic root of 40157949 is about 342.4447464458. Note that the first 3 decimals are identical.

The spelling of 40157949 in words is "forty million, one hundred fifty-seven thousand, nine hundred forty-nine".

Divisors: 1 3 13 39 103 169 309 507 769 1339 2307 4017 9997 17407 29991 52221 79207 129961 237621 389883 1029691 3089073 13385983 40157949