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9142496 = 2511191367
BaseRepresentation
bin100010111000…
…000011100000
3122012111010222
4202320003200
54320024441
6523542212
7140465336
oct42700340
918174128
109142496
115184990
12308a968
131b8147c
1412ddb56
15c08d4b
hex8b80e0

9142496 has 48 divisors (see below), whose sum is σ = 20684160. Its totient is φ = 3934080.

The previous prime is 9142429. The next prime is 9142499. The reversal of 9142496 is 6942419.

9142496 = 1013 + 1023 + ... + 1083.

It is a super-2 number, since 2×91424962 = 167170466220032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9142499) 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, 6005 + ... + 7371.

It is an arithmetic number, because the mean of its divisors is an integer number (430920).

Almost surely, 29142496 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 9142496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10342080).

9142496 is an abundant number, since it is smaller than the sum of its proper divisors (11541664).

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

9142496 is a wasteful number, since it uses less digits than its factorization.

9142496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1407 (or 1399 counting only the distinct ones).

The product of its digits is 15552, while the sum is 35.

The square root of 9142496 is about 3023.6560650974. The cubic root of 9142496 is about 209.1004302017.

The spelling of 9142496 in words is "nine million, one hundred forty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 152 176 209 304 352 418 608 836 1367 1672 2734 3344 5468 6688 10936 15037 21872 25973 30074 43744 51946 60148 103892 120296 207784 240592 285703 415568 481184 571406 831136 1142812 2285624 4571248 9142496