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40190496 = 2534110211
BaseRepresentation
bin1001100101010…
…0001000100000
32210121212222220
42121110020200
540242043441
63553231040
7665420313
oct231241040
983555886
1040190496
1120760795
1211562480
138432478
1454a297a
1537dd466
hex2654220

40190496 has 48 divisors (see below), whose sum is σ = 108083808. Its totient is φ = 13068800.

The previous prime is 40190489. The next prime is 40190503. The reversal of 40190496 is 69409104.

It is an interprime number because it is at equal distance from previous prime (40190489) and next prime (40190503).

It is a tau number, because it is divible by the number of its divisors (48).

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, 1170 + ... + 9041.

It is an arithmetic number, because the mean of its divisors is an integer number (2251746).

Almost surely, 240190496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40190496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54041904).

40190496 is an abundant number, since it is smaller than the sum of its proper divisors (67893312).

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

40190496 is a wasteful number, since it uses less digits than its factorization.

40190496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10265 (or 10257 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 40190496 is about 6339.5974635619. The cubic root of 40190496 is about 342.5372357265.

The spelling of 40190496 in words is "forty million, one hundred ninety thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3936 10211 20422 30633 40844 61266 81688 122532 163376 245064 326752 418651 490128 837302 980256 1255953 1674604 2511906 3349208 5023812 6698416 10047624 13396832 20095248 40190496