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148904448 = 2937111259
BaseRepresentation
bin10001110000000…
…01101000000000
3101101012010111120
420320001220000
5301104420243
622435312240
73455444520
oct1070015000
9341163446
10148904448
1177064130
1241a4b680
1324b07354
1415ac1680
15d114c83
hex8e01a00

148904448 has 160 divisors (see below), whose sum is σ = 494968320. Its totient is φ = 38645760.

The previous prime is 148904447. The next prime is 148904449. The reversal of 148904448 is 844409841.

It is an interprime number because it is at equal distance from previous prime (148904447) and next prime (148904449).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (148904447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117643 + ... + 118901.

It is an arithmetic number, because the mean of its divisors is an integer number (3093552).

Almost surely, 2148904448 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 148904448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247484160).

148904448 is an abundant number, since it is smaller than the sum of its proper divisors (346063872).

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

148904448 is a wasteful number, since it uses less digits than its factorization.

148904448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 148904448 is about 12202.6410256141. The cubic root of 148904448 is about 530.0325694949.

The spelling of 148904448 in words is "one hundred forty-eight million, nine hundred four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 256 264 308 336 352 384 448 462 512 528 616 672 704 768 896 924 1056 1232 1259 1344 1408 1536 1792 1848 2112 2464 2518 2688 2816 3584 3696 3777 4224 4928 5036 5376 5632 7392 7554 8448 8813 9856 10072 10752 13849 14784 15108 16896 17626 19712 20144 26439 27698 29568 30216 35252 39424 40288 41547 52878 55396 59136 60432 70504 80576 83094 96943 105756 110792 118272 120864 141008 161152 166188 193886 211512 221584 241728 282016 290829 322304 332376 387772 423024 443168 483456 564032 581658 644608 664752 775544 846048 886336 966912 1128064 1163316 1329504 1551088 1692096 1772672 1933824 2256128 2326632 2659008 3102176 3384192 3545344 4512256 4653264 5318016 6204352 6768384 7090688 9306528 10636032 12408704 13536768 18613056 21272064 24817408 37226112 49634816 74452224 148904448