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40978100 = 2252409781
BaseRepresentation
bin1001110001010…
…0011010110100
32212002220101102
42130110122310
540442244400
64022145232
71005210452
oct234243264
985086342
1040978100
11211494a9
1211882218
138649ac7
1456299d2
1538e69d5
hex27146b4

40978100 has 18 divisors (see below), whose sum is σ = 88922694. Its totient is φ = 16391200.

The previous prime is 40978087. The next prime is 40978123. The reversal of 40978100 is 187904.

It can be written as a sum of positive squares in 3 ways, for example, as 94864 + 40883236 = 308^2 + 6394^2 .

It is a super-2 number, since 2×409781002 = 3358409359220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 204791 + ... + 204990.

Almost surely, 240978100 is an apocalyptic number.

It is an amenable number.

40978100 is an abundant number, since it is smaller than the sum of its proper divisors (47944594).

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

40978100 is a wasteful number, since it uses less digits than its factorization.

40978100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409795 (or 409788 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 40978100 is about 6401.4139063179. The cubic root of 40978100 is about 344.7603180163.

The spelling of 40978100 in words is "forty million, nine hundred seventy-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 409781 819562 1639124 2048905 4097810 8195620 10244525 20489050 40978100