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148400416 = 25231631237
BaseRepresentation
bin10001101100001…
…10100100100000
3101100020112002201
420312012210200
5300442303131
622420422544
73451245163
oct1066064440
9340215081
10148400416
117684a47a
1241847a54
132498bac8
14159cdada
15d065761
hex8d86920

148400416 has 48 divisors (see below), whose sum is σ = 306984384. Its totient is φ = 70481664.

The previous prime is 148400407. The next prime is 148400489. The reversal of 148400416 is 614004841.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119350 + ... + 120586.

It is an arithmetic number, because the mean of its divisors is an integer number (6395508).

Almost surely, 2148400416 is an apocalyptic number.

148400416 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 148400416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153492192).

148400416 is an abundant number, since it is smaller than the sum of its proper divisors (158583968).

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

148400416 is a wasteful number, since it uses less digits than its factorization.

148400416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1433 (or 1425 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 148400416 is about 12181.9709406976. The cubic root of 148400416 is about 529.4338513681.

The spelling of 148400416 in words is "one hundred forty-eight million, four hundred thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 23 32 46 92 163 184 326 368 652 736 1237 1304 2474 2608 3749 4948 5216 7498 9896 14996 19792 28451 29992 39584 56902 59984 113804 119968 201631 227608 403262 455216 806524 910432 1613048 3226096 4637513 6452192 9275026 18550052 37100104 74200208 148400416