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99002148 = 2237367359
BaseRepresentation
bin1011110011010…
…10011100100100
320220021211102020
411321222130210
5200321032043
613453543140
72311335000
oct571523444
9226254366
1099002148
115097a863
12291a4ab0
131768456b
14d211700
158a58e83
hex5e6a724

99002148 has 96 divisors (see below), whose sum is σ = 274176000. Its totient is φ = 27786528.

The previous prime is 99002147. The next prime is 99002149. The reversal of 99002148 is 84120099.

It is an interprime number because it is at equal distance from previous prime (99002147) and next prime (99002149).

It is a super-2 number, since 2×990021482 = 19602850617227808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (99002147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 275593 + ... + 275951.

It is an arithmetic number, because the mean of its divisors is an integer number (2856000).

Almost surely, 299002148 is an apocalyptic number.

99002148 is a gapful number since it is divisible by the number (98) 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 99002148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137088000).

99002148 is an abundant number, since it is smaller than the sum of its proper divisors (175173852).

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

99002148 is a wasteful number, since it uses less digits than its factorization.

99002148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 99002148 is about 9949.9823115421. The cubic root of 99002148 is about 462.6098466138.

The spelling of 99002148 in words is "ninety-nine million, two thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 67 84 98 134 147 196 201 268 294 343 359 402 469 588 686 718 804 938 1029 1077 1372 1407 1436 1876 2058 2154 2513 2814 3283 4116 4308 5026 5628 6566 7539 9849 10052 13132 15078 17591 19698 22981 24053 30156 35182 39396 45962 48106 52773 68943 70364 72159 91924 96212 105546 123137 137886 144318 168371 211092 246274 275772 288636 336742 369411 492548 505113 673484 738822 1010226 1178597 1477644 2020452 2357194 3535791 4714388 7071582 8250179 14143164 16500358 24750537 33000716 49501074 99002148