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99387936 = 25321941443
BaseRepresentation
bin1011110110010…
…00101000100000
320221000102121200
411323020220200
5200420403221
613510121200
72314532514
oct573105040
9227012550
1099387936
115111369a
1229350200
131778b03b
14d2b2144
158ad3426
hex5ec8a20

99387936 has 144 divisors (see below), whose sum is σ = 305454240. Its totient is φ = 30551040.

The previous prime is 99387931. The next prime is 99387941. The reversal of 99387936 is 63978399.

It is an interprime number because it is at equal distance from previous prime (99387931) and next prime (99387941).

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (99387931) 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 23 ways as a sum of consecutive naturals, for example, 224131 + ... + 224573.

It is an arithmetic number, because the mean of its divisors is an integer number (2121210).

Almost surely, 299387936 is an apocalyptic number.

99387936 is a gapful number since it is divisible by the number (96) 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 99387936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152727120).

99387936 is an abundant number, since it is smaller than the sum of its proper divisors (206066304).

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

99387936 is a wasteful number, since it uses less digits than its factorization.

99387936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 508 counting only the distinct ones).

The product of its digits is 2204496, while the sum is 54.

The square root of 99387936 is about 9969.3498283489. The cubic root of 99387936 is about 463.2099615744.

The spelling of 99387936 in words is "ninety-nine million, three hundred eighty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 41 48 57 72 76 82 96 114 123 144 152 164 171 228 246 288 304 328 342 369 443 456 492 608 656 684 738 779 886 912 984 1312 1329 1368 1476 1558 1772 1824 1968 2337 2658 2736 2952 3116 3544 3936 3987 4674 5316 5472 5904 6232 7011 7088 7974 8417 9348 10632 11808 12464 14022 14176 15948 16834 18163 18696 21264 24928 25251 28044 31896 33668 36326 37392 42528 50502 54489 56088 63792 67336 72652 74784 75753 101004 108978 112176 127584 134672 145304 151506 163467 202008 217956 224352 269344 290608 303012 326934 345097 404016 435912 581216 606024 653868 690194 808032 871824 1035291 1212048 1307736 1380388 1743648 2070582 2424096 2615472 2760776 3105873 4141164 5230944 5521552 6211746 8282328 11043104 12423492 16564656 24846984 33129312 49693968 99387936