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96993396 = 22331994513
BaseRepresentation
bin1011100100000…
…00000001110100
320202111202221000
411302000001310
5144312242041
613342523300
72255300403
oct562000164
9222452830
1096993396
114a828635
1228596530
1317130156
14cc4b63a
1587adbb6
hex5c80074

96993396 has 48 divisors (see below), whose sum is σ = 252784000. Its totient is φ = 32161536.

The previous prime is 96993359. The next prime is 96993401. The reversal of 96993396 is 69339969.

It is a super-2 number, since 2×969933962 = 18815437735225632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19236 + ... + 23748.

Almost surely, 296993396 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 96993396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126392000).

96993396 is an abundant number, since it is smaller than the sum of its proper divisors (155790604).

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

96993396 is a wasteful number, since it uses less digits than its factorization.

96993396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4725 (or 4717 counting only the distinct ones).

The product of its digits is 2125764, while the sum is 54.

The square root of 96993396 is about 9848.5225287857. The cubic root of 96993396 is about 459.4596616972.

The spelling of 96993396 in words is "ninety-six million, nine hundred ninety-three thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 199 398 597 796 1194 1791 2388 3582 4513 5373 7164 9026 10746 13539 18052 21492 27078 40617 54156 81234 121851 162468 243702 487404 898087 1796174 2694261 3592348 5388522 8082783 10777044 16165566 24248349 32331132 48496698 96993396