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96629744 = 2419476763
BaseRepresentation
bin1011100001001…
…11001111110000
320201211022002102
411300213033300
5144214122434
613331035532
72252224241
oct560471760
9221738072
1096629744
114a5aa3a2
122843bba8
1317033783
14cb94cc8
15873b07e
hex5c273f0

96629744 has 40 divisors (see below), whose sum is σ = 201296640. Its totient is φ = 44791488.

The previous prime is 96629737. The next prime is 96629747. The reversal of 96629744 is 44792669.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96629747) 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, 10907 + ... + 17669.

It is an arithmetic number, because the mean of its divisors is an integer number (5032416).

Almost surely, 296629744 is an apocalyptic number.

96629744 is a gapful number since it is divisible by the number (94) 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 96629744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100648320).

96629744 is an abundant number, since it is smaller than the sum of its proper divisors (104666896).

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

96629744 is a wasteful number, since it uses less digits than its factorization.

96629744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6837 (or 6831 counting only the distinct ones).

The product of its digits is 653184, while the sum is 47.

The square root of 96629744 is about 9830.0429297130. The cubic root of 96629744 is about 458.8847336435.

The spelling of 96629744 in words is "ninety-six million, six hundred twenty-nine thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 19 38 47 76 94 152 188 304 376 752 893 1786 3572 6763 7144 13526 14288 27052 54104 108208 128497 256994 317861 513988 635722 1027976 1271444 2055952 2542888 5085776 6039359 12078718 24157436 48314872 96629744