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148444416 = 2832193391
BaseRepresentation
bin10001101100100…
…01010100000000
3101100022202110100
420312101110000
5301000210131
622421402400
73451520361
oct1066212400
9340282410
10148444416
117687a53a
1241869400
13249a5b43
1415a01b68
15d0737e6
hex8d91500

148444416 has 108 divisors (see below), whose sum is σ = 450661120. Its totient is φ = 46863360.

The previous prime is 148444393. The next prime is 148444423. The reversal of 148444416 is 614444841.

It is a super-3 number, since 3×1484444163 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42081 + ... + 45471.

Almost surely, 2148444416 is an apocalyptic number.

148444416 is a gapful number since it is divisible by the number (16) 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 148444416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225330560).

148444416 is an abundant number, since it is smaller than the sum of its proper divisors (302216704).

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

148444416 is a wasteful number, since it uses less digits than its factorization.

148444416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3432 (or 3415 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 148444416 is about 12183.7767543566. The cubic root of 148444416 is about 529.4861710497.

The spelling of 148444416 in words is "one hundred forty-eight million, four hundred forty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 576 608 684 768 912 1152 1216 1368 1824 2304 2432 2736 3391 3648 4864 5472 6782 7296 10173 10944 13564 14592 20346 21888 27128 30519 40692 43776 54256 61038 64429 81384 108512 122076 128858 162768 193287 217024 244152 257716 325536 386574 434048 488304 515432 579861 651072 773148 868096 976608 1030864 1159722 1302144 1546296 1953216 2061728 2319444 2604288 3092592 3906432 4123456 4638888 6185184 7812864 8246912 9277776 12370368 16493824 18555552 24740736 37111104 49481472 74222208 148444416