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148982592 = 26311233067
BaseRepresentation
bin10001110000101…
…00101101000000
3101101100002200210
420320110231000
5301114420332
622441114120
73456221403
oct1070245500
9341302623
10148982592
1177107910
1241a88940
1324b33aa5
1415b01d3a
15d12cecc
hex8e14b40

148982592 has 112 divisors (see below), whose sum is σ = 448860672. Its totient is φ = 43169280.

The previous prime is 148982579. The next prime is 148982623. The reversal of 148982592 is 295289841.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47043 + ... + 50109.

Almost surely, 2148982592 is an apocalyptic number.

148982592 is a gapful number since it is divisible by the number (12) 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 148982592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224430336).

148982592 is an abundant number, since it is smaller than the sum of its proper divisors (299878080).

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

148982592 is a wasteful number, since it uses less digits than its factorization.

148982592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3116 (or 3106 counting only the distinct ones).

The product of its digits is 414720, while the sum is 48.

The square root of 148982592 is about 12205.8425354418. The cubic root of 148982592 is about 530.1252723934.

The spelling of 148982592 in words is "one hundred forty-eight million, nine hundred eighty-two thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 64 66 69 88 92 96 132 138 176 184 192 253 264 276 352 368 506 528 552 704 736 759 1012 1056 1104 1472 1518 2024 2112 2208 3036 3067 4048 4416 6072 6134 8096 9201 12144 12268 16192 18402 24288 24536 33737 36804 48576 49072 67474 70541 73608 98144 101211 134948 141082 147216 196288 202422 211623 269896 282164 294432 404844 423246 539792 564328 588864 775951 809688 846492 1079584 1128656 1551902 1619376 1692984 2159168 2257312 2327853 3103804 3238752 3385968 4514624 4655706 6207608 6477504 6771936 9311412 12415216 13543872 18622824 24830432 37245648 49660864 74491296 148982592