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742152 = 233172107
BaseRepresentation
bin10110101001100001000
31101201001010
42311030020
5142222102
623523520
76210465
oct2651410
91351033
10742152
11467654
122b95a0
131cca58
1415466c
15e9d6c
hexb5308

742152 has 48 divisors (see below), whose sum is σ = 1989360. Its totient is φ = 230656.

The previous prime is 742151. The next prime is 742153. The reversal of 742152 is 251247.

It is an interprime number because it is at equal distance from previous prime (742151) and next prime (742153).

It is a super-2 number, since 2×7421522 = 1101579182208, which contains 22 as substring.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (742151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6883 + ... + 6989.

It is an arithmetic number, because the mean of its divisors is an integer number (41445).

2742152 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 742152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994680).

742152 is an abundant number, since it is smaller than the sum of its proper divisors (1247208).

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

742152 is a wasteful number, since it uses less digits than its factorization.

742152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 129 counting only the distinct ones).

The product of its digits is 560, while the sum is 21.

The square root of 742152 is about 861.4824432338. The cubic root of 742152 is about 90.5380119716.

Adding to 742152 its reverse (251247), we get a palindrome (993399).

The spelling of 742152 in words is "seven hundred forty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 107 136 204 214 289 321 408 428 578 642 856 867 1156 1284 1734 1819 2312 2568 3468 3638 5457 6936 7276 10914 14552 21828 30923 43656 61846 92769 123692 185538 247384 371076 742152