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10049274 = 2323779191
BaseRepresentation
bin100110010101…
…011011111010
3200220120000100
4212111123322
510033034044
6555220230
7151263114
oct46253372
920816010
1010049274
115744194
123447676
13210b121
1414983b4
15d37869
hex9956fa

10049274 has 48 divisors (see below), whose sum is σ = 22763520. Its totient is φ = 3201120.

The previous prime is 10049267. The next prime is 10049279. The reversal of 10049274 is 47294001.

It is a happy number.

10049274 is a `hidden beast` number, since 100 + 492 + 74 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10049279) 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, 52519 + ... + 52709.

It is an arithmetic number, because the mean of its divisors is an integer number (474240).

Almost surely, 210049274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10049274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11381760).

10049274 is an abundant number, since it is smaller than the sum of its proper divisors (12714246).

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

10049274 is a wasteful number, since it uses less digits than its factorization.

10049274 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 10049274 is about 3170.0589899874. The cubic root of 10049274 is about 215.7967481042.

The spelling of 10049274 in words is "ten million, forty-nine thousand, two hundred seventy-four".

Divisors: 1 2 3 6 9 18 37 74 79 111 158 191 222 237 333 382 474 573 666 711 1146 1422 1719 2923 3438 5846 7067 8769 14134 15089 17538 21201 26307 30178 42402 45267 52614 63603 90534 127206 135801 271602 558293 1116586 1674879 3349758 5024637 10049274