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74152092 = 22372235483
BaseRepresentation
bin1000110101101…
…11100010011100
312011112022112210
410122313202130
5122440331332
611205200420
71560165600
oct432674234
9164468483
1074152092
1138947623
1220a00110
13124936a1
149bc3500
15679aecc
hex46b789c

74152092 has 72 divisors (see below), whose sum is σ = 210059136. Its totient is φ = 20261472.

The previous prime is 74152087. The next prime is 74152097. The reversal of 74152092 is 29025147.

It is an interprime number because it is at equal distance from previous prime (74152087) and next prime (74152097).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74152097) 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, 10783 + ... + 16265.

It is an arithmetic number, because the mean of its divisors is an integer number (2917488).

Almost surely, 274152092 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 74152092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105029568).

74152092 is an abundant number, since it is smaller than the sum of its proper divisors (135907044).

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

74152092 is a wasteful number, since it uses less digits than its factorization.

74152092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5527 (or 5518 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 74152092 is about 8611.1608973471. The cubic root of 74152092 is about 420.1210762043.

The spelling of 74152092 in words is "seventy-four million, one hundred fifty-two thousand, ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 49 69 84 92 98 138 147 161 196 276 294 322 483 588 644 966 1127 1932 2254 3381 4508 5483 6762 10966 13524 16449 21932 32898 38381 65796 76762 115143 126109 153524 230286 252218 268667 378327 460572 504436 537334 756654 806001 882763 1074668 1513308 1612002 1765526 2648289 3224004 3531052 5296578 6179341 10593156 12358682 18538023 24717364 37076046 74152092