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148878480 = 2435718737
BaseRepresentation
bin10001101111110…
…11010010010000
3101101010210212210
420313323102100
5301103102410
622434552120
73455306022
oct1067732220
9341123783
10148878480
1177046673
1241a38640
1324ac859a
1415ab6012
15d10c220
hex8dfb490

148878480 has 80 divisors (see below), whose sum is σ = 468077184. Its totient is φ = 39137280.

The previous prime is 148878479. The next prime is 148878493. The reversal of 148878480 is 84878841.

It is a happy number.

148878480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1488784802 = 44329603614220800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 12672 + ... + 21408.

Almost surely, 2148878480 is an apocalyptic number.

148878480 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 148878480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234038592).

148878480 is an abundant number, since it is smaller than the sum of its proper divisors (319198704).

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

148878480 is a wasteful number, since it uses less digits than its factorization.

148878480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8824 (or 8818 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 48.

The square root of 148878480 is about 12201.5769472638. The cubic root of 148878480 is about 530.0017562538.

The spelling of 148878480 in words is "one hundred forty-eight million, eight hundred seventy-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 213 240 284 355 426 568 710 852 1065 1136 1420 1704 2130 2840 3408 4260 5680 8520 8737 17040 17474 26211 34948 43685 52422 69896 87370 104844 131055 139792 174740 209688 262110 349480 419376 524220 620327 698960 1048440 1240654 1860981 2096880 2481308 3101635 3721962 4962616 6203270 7443924 9304905 9925232 12406540 14887848 18609810 24813080 29775696 37219620 49626160 74439240 148878480