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49332276 = 223271631201
BaseRepresentation
bin1011110000110…
…0000000110100
310102211100011100
42330030000310
5100112113101
64521210100
71136213610
oct274140064
9112740140
1049332276
1125935084
1214630930
13a2b34c6
1467a2340
1544e6e86
hex2f0c034

49332276 has 72 divisors (see below), whose sum is σ = 143509184. Its totient is φ = 13996800.

The previous prime is 49332271. The next prime is 49332287. The reversal of 49332276 is 67223394.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 49332276.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49332271) 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, 40476 + ... + 41676.

Almost surely, 249332276 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 49332276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71754592).

49332276 is an abundant number, since it is smaller than the sum of its proper divisors (94176908).

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

49332276 is a wasteful number, since it uses less digits than its factorization.

49332276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381 (or 1376 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 49332276 is about 7023.6938999361. The cubic root of 49332276 is about 366.7558508496.

The spelling of 49332276 in words is "forty-nine million, three hundred thirty-two thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 163 252 326 489 652 978 1141 1201 1467 1956 2282 2402 2934 3423 3603 4564 4804 5868 6846 7206 8407 10269 10809 13692 14412 16814 20538 21618 25221 33628 41076 43236 50442 75663 100884 151326 195763 302652 391526 587289 783052 1174578 1370341 1761867 2349156 2740682 3523734 4111023 5481364 7047468 8222046 12333069 16444092 24666138 49332276