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116264448 = 2932231097
BaseRepresentation
bin1101110111000…
…00111000000000
322002202211211200
412323200320000
5214230430243
615311541200
72611142256
oct673407000
9262684750
10116264448
115a6a0223
1232b2a800
131b119841
14116265d6
15a318ad3
hex6ee0e00

116264448 has 120 divisors (see below), whose sum is σ = 350455248. Its totient is φ = 37036032.

The previous prime is 116264441. The next prime is 116264453. The reversal of 116264448 is 844462611.

It is a happy number.

116264448 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 644 + 4 + 8 = 666.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (116264441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105436 + ... + 106532.

Almost surely, 2116264448 is an apocalyptic number.

116264448 is a gapful number since it is divisible by the number (18) 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 116264448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175227624).

116264448 is an abundant number, since it is smaller than the sum of its proper divisors (234190800).

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

116264448 is a wasteful number, since it uses less digits than its factorization.

116264448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1125 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 116264448 is about 10782.5993155639. The cubic root of 116264448 is about 488.0702219113.

The spelling of 116264448 in words is "one hundred sixteen million, two hundred sixty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 256 276 288 368 384 414 512 552 576 736 768 828 1097 1104 1152 1472 1536 1656 2194 2208 2304 2944 3291 3312 4388 4416 4608 5888 6582 6624 8776 8832 9873 11776 13164 13248 17552 17664 19746 25231 26328 26496 35104 35328 39492 50462 52656 52992 70208 75693 78984 100924 105312 105984 140416 151386 157968 201848 210624 227079 280832 302772 315936 403696 421248 454158 561664 605544 631872 807392 842496 908316 1211088 1263744 1614784 1684992 1816632 2422176 2527488 3229568 3633264 4844352 5054976 6459136 7266528 9688704 12918272 14533056 19377408 29066112 38754816 58132224 116264448