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148475600 = 24527134079
BaseRepresentation
bin10001101100110…
…00111011010000
3101100101100020022
420312120323100
5301002204400
622422203012
73452010320
oct1066307320
9340340208
10148475600
11768a0a09
1241883468
13249b70b0
1415a0d280
15d07cb85
hex8d98ed0

148475600 has 120 divisors (see below), whose sum is σ = 439138560. Its totient is φ = 46978560.

The previous prime is 148475599. The next prime is 148475611. The reversal of 148475600 is 6574841.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34361 + ... + 38439.

It is an arithmetic number, because the mean of its divisors is an integer number (3659488).

Almost surely, 2148475600 is an apocalyptic number.

148475600 is a gapful number since it is divisible by the number (10) 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 148475600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219569280).

148475600 is an abundant number, since it is smaller than the sum of its proper divisors (290662960).

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

148475600 is a wasteful number, since it uses less digits than its factorization.

148475600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4117 (or 4106 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 148475600 is about 12185.0564216995. The cubic root of 148475600 is about 529.5232451751.

The spelling of 148475600 in words is "one hundred forty-eight million, four hundred seventy-five thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 25 26 28 35 40 50 52 56 65 70 80 91 100 104 112 130 140 175 182 200 208 260 280 325 350 364 400 455 520 560 650 700 728 910 1040 1300 1400 1456 1820 2275 2600 2800 3640 4079 4550 5200 7280 8158 9100 16316 18200 20395 28553 32632 36400 40790 53027 57106 65264 81580 101975 106054 114212 142765 163160 203950 212108 228424 265135 285530 326320 371189 407900 424216 456848 530270 571060 713825 742378 815800 848432 1060540 1142120 1325675 1427650 1484756 1631600 1855945 2121080 2284240 2651350 2855300 2969512 3711890 4242160 5302700 5710600 5939024 7423780 9279725 10605400 11421200 14847560 18559450 21210800 29695120 37118900 74237800 148475600