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96284952 = 23323747769
BaseRepresentation
bin1011011110100…
…11000100011000
320201011210010100
411233103010120
5144122104302
613315415400
72246260101
oct557230430
9221153110
1096284952
114a394345
12282b4560
1316c4285a
14cb053a8
1586bdd1c
hex5bd3118

96284952 has 96 divisors (see below), whose sum is σ = 273873600. Its totient is φ = 30523392.

The previous prime is 96284939. The next prime is 96284983. The reversal of 96284952 is 25948269.

It is a junction number, because it is equal to n+sod(n) for n = 96284898 and 96284907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124824 + ... + 125592.

It is an arithmetic number, because the mean of its divisors is an integer number (2852850).

Almost surely, 296284952 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 96284952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136936800).

96284952 is an abundant number, since it is smaller than the sum of its proper divisors (177588648).

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

96284952 is a wasteful number, since it uses less digits than its factorization.

96284952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 858 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 96284952 is about 9812.4895923512. The cubic root of 96284952 is about 458.3382892540.

The spelling of 96284952 in words is "ninety-six million, two hundred eighty-four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 47 72 74 94 111 141 148 188 222 282 296 333 376 423 444 564 666 769 846 888 1128 1332 1538 1692 1739 2307 2664 3076 3384 3478 4614 5217 6152 6921 6956 9228 10434 13842 13912 15651 18456 20868 27684 28453 31302 36143 41736 55368 56906 62604 72286 85359 108429 113812 125208 144572 170718 216858 227624 256077 289144 325287 341436 433716 512154 650574 682872 867432 1024308 1301148 1337291 2048616 2602296 2674582 4011873 5349164 8023746 10698328 12035619 16047492 24071238 32094984 48142476 96284952