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40078416 = 24371011181
BaseRepresentation
bin1001100011100…
…0110001010000
32210102012020210
42120320301100
540230002131
63551004120
7664442460
oct230706120
983365223
1040078416
1120694564
1211509640
1383c3451
145473ba0
1537ba146
hex2638c50

40078416 has 80 divisors (see below), whose sum is σ = 119599488. Its totient is φ = 11328000.

The previous prime is 40078411. The next prime is 40078417. The reversal of 40078416 is 61487004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40078411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33346 + ... + 34526.

Almost surely, 240078416 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 40078416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59799744).

40078416 is an abundant number, since it is smaller than the sum of its proper divisors (79521072).

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

40078416 is a wasteful number, since it uses less digits than its factorization.

40078416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 40078416 is about 6330.7516141450. The cubic root of 40078416 is about 342.2185259122.

The spelling of 40078416 in words is "forty million, seventy-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 101 112 168 202 303 336 404 606 707 808 1181 1212 1414 1616 2121 2362 2424 2828 3543 4242 4724 4848 5656 7086 8267 8484 9448 11312 14172 16534 16968 18896 24801 28344 33068 33936 49602 56688 66136 99204 119281 132272 198408 238562 357843 396816 477124 715686 834967 954248 1431372 1669934 1908496 2504901 2862744 3339868 5009802 5725488 6679736 10019604 13359472 20039208 40078416