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4074816 = 263191117
BaseRepresentation
bin1111100010110101000000
321200000121010
433202311000
52020343231
6223200520
746430634
oct17426500
97600533
104074816
112333519
121446140
13ac8945
14780dc4
15557546
hex3e2d40

4074816 has 56 divisors (see below), whose sum is σ = 11358880. Its totient is φ = 1285632.

The previous prime is 4074793. The next prime is 4074817. The reversal of 4074816 is 6184704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4074817) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3090 + ... + 4206.

Almost surely, 24074816 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 4074816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5679440).

4074816 is an abundant number, since it is smaller than the sum of its proper divisors (7284064).

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

4074816 is a wasteful number, since it uses less digits than its factorization.

4074816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1141 counting only the distinct ones).

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

The square root of 4074816 is about 2018.6173485829. The cubic root of 4074816 is about 159.7236897705.

The spelling of 4074816 in words is "four million, seventy-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1117 1216 1824 2234 3351 3648 4468 6702 8936 13404 17872 21223 26808 35744 42446 53616 63669 71488 84892 107232 127338 169784 214464 254676 339568 509352 679136 1018704 1358272 2037408 4074816