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2693152 = 257111093
BaseRepresentation
bin1010010001100000100000
312001211022101
422101200200
51142140102
6133420144
731614520
oct12214040
95054271
102693152
11157a450
12a9a654
13733aa7
14501680
15382e87
hex291820

2693152 has 48 divisors (see below), whose sum is σ = 6616512. Its totient is φ = 1048320.

The previous prime is 2693149. The next prime is 2693153. The reversal of 2693152 is 2513962.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 2693152.

It is not an unprimeable number, because it can be changed into a prime (2693153) 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, 1918 + ... + 3010.

It is an arithmetic number, because the mean of its divisors is an integer number (137844).

22693152 is an apocalyptic number.

2693152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2693152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3308256).

2693152 is an abundant number, since it is smaller than the sum of its proper divisors (3923360).

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

2693152 is a wasteful number, since it uses less digits than its factorization.

2693152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1113 counting only the distinct ones).

The product of its digits is 3240, while the sum is 28.

The square root of 2693152 is about 1641.0825695254. The cubic root of 2693152 is about 139.1298408942.

The spelling of 2693152 in words is "two million, six hundred ninety-three thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1093 1232 2186 2464 4372 7651 8744 12023 15302 17488 24046 30604 34976 48092 61208 84161 96184 122416 168322 192368 244832 336644 384736 673288 1346576 2693152