Search a number
-
+
99455664 = 24371171379
BaseRepresentation
bin1011110110110…
…01001010110000
320221010212112010
411323121022300
5200430040124
613511402520
72315234130
oct573311260
9227125463
1099455664
115115a570
1229383440
13177b2b09
14d2ccac0
158ae8529
hex5ed92b0

99455664 has 160 divisors (see below), whose sum is σ = 325693440. Its totient is φ = 25401600.

The previous prime is 99455617. The next prime is 99455677. The reversal of 99455664 is 46655499.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 262227 + ... + 262605.

It is an arithmetic number, because the mean of its divisors is an integer number (2035584).

Almost surely, 299455664 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 99455664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162846720).

99455664 is an abundant number, since it is smaller than the sum of its proper divisors (226237776).

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

99455664 is a wasteful number, since it uses less digits than its factorization.

99455664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 473 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 48.

The square root of 99455664 is about 9972.7460611408. The cubic root of 99455664 is about 463.3151559673.

The spelling of 99455664 in words is "ninety-nine million, four hundred fifty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 71 77 84 88 112 132 142 154 168 176 213 231 264 284 308 336 379 426 462 497 528 568 616 758 781 852 924 994 1136 1137 1232 1491 1516 1562 1704 1848 1988 2274 2343 2653 2982 3032 3124 3408 3696 3976 4169 4548 4686 5306 5467 5964 6064 6248 7952 7959 8338 9096 9372 10612 10934 11928 12496 12507 15918 16401 16676 18192 18744 21224 21868 23856 25014 26909 29183 31836 32802 33352 37488 42448 43736 50028 53818 58366 63672 65604 66704 80727 87472 87549 100056 107636 116732 127344 131208 161454 175098 188363 200112 215272 233464 262416 295999 322908 350196 376726 430544 466928 565089 591998 645816 700392 753452 887997 1130178 1183996 1291632 1400784 1506904 1775994 2071993 2260356 2367992 3013808 3551988 4143986 4520712 4735984 6215979 7103976 8287972 9041424 12431958 14207952 16575944 24863916 33151888 49727832 99455664