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99336816 = 24322389337
BaseRepresentation
bin1011110101111…
…00001001110000
320220220211111100
411322330021300
5200412234231
613505044400
72314230465
oct572741160
9226824440
1099336816
1151089247
1229326700
13177709a7
14d29b66c
158ac31e6
hex5ebc270

99336816 has 120 divisors (see below), whose sum is σ = 294222240. Its totient is φ = 31223808.

The previous prime is 99336791. The next prime is 99336829. The reversal of 99336816 is 61863399.

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 23 ways as a sum of consecutive naturals, for example, 294600 + ... + 294936.

It is an arithmetic number, because the mean of its divisors is an integer number (2451852).

Almost surely, 299336816 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 99336816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147111120).

99336816 is an abundant number, since it is smaller than the sum of its proper divisors (194885424).

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

99336816 is a wasteful number, since it uses less digits than its factorization.

99336816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 454 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 99336816 is about 9966.7856403155. The cubic root of 99336816 is about 463.1305308939.

The spelling of 99336816 in words is "ninety-nine million, three hundred thirty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 89 92 138 144 178 184 207 267 276 337 356 368 414 534 552 674 712 801 828 1011 1068 1104 1348 1424 1602 1656 2022 2047 2136 2696 3033 3204 3312 4044 4094 4272 5392 6066 6141 6408 7751 8088 8188 12132 12282 12816 15502 16176 16376 18423 23253 24264 24564 29993 31004 32752 36846 46506 48528 49128 59986 62008 69759 73692 89979 93012 98256 119972 124016 139518 147384 179958 186024 239944 269937 279036 294768 359916 372048 479888 539874 558072 689839 719832 1079748 1116144 1379678 1439664 2069517 2159496 2759356 4139034 4318992 5518712 6208551 8278068 11037424 12417102 16556136 24834204 33112272 49668408 99336816