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148404096 = 2733231867
BaseRepresentation
bin10001101100001…
…11011110000000
3101100020201011000
420312013132000
5300442412341
622420452000
73451262001
oct1066073600
9340221130
10148404096
1176852215
124184a000
1324990699
14159d11a8
15d0668b6
hex8d87780

148404096 has 128 divisors (see below), whose sum is σ = 457286400. Its totient is φ = 47291904.

The previous prime is 148404089. The next prime is 148404121. The reversal of 148404096 is 690404841.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a self number, because there is not a number n which added to its sum of digits gives 148404096.

It is a congruent number.

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, 78555 + ... + 80421.

It is an arithmetic number, because the mean of its divisors is an integer number (3572550).

Almost surely, 2148404096 is an apocalyptic number.

148404096 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 148404096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228643200).

148404096 is an abundant number, since it is smaller than the sum of its proper divisors (308882304).

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

148404096 is a wasteful number, since it uses less digits than its factorization.

148404096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913 (or 1895 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 148404096 is about 12182.1219826433. The cubic root of 148404096 is about 529.4382275923.

The spelling of 148404096 in words is "one hundred forty-eight million, four hundred four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 92 96 108 128 138 144 184 192 207 216 276 288 368 384 414 432 552 576 621 736 828 864 1104 1152 1242 1472 1656 1728 1867 2208 2484 2944 3312 3456 3734 4416 4968 5601 6624 7468 8832 9936 11202 13248 14936 16803 19872 22404 26496 29872 33606 39744 42941 44808 50409 59744 67212 79488 85882 89616 100818 119488 128823 134424 171764 179232 201636 238976 257646 268848 343528 358464 386469 403272 515292 537696 687056 716928 772938 806544 1030584 1075392 1159407 1374112 1545876 1613088 2061168 2150784 2318814 2748224 3091752 3226176 4122336 4637628 5496448 6183504 6452352 8244672 9275256 12367008 16489344 18550512 24734016 37101024 49468032 74202048 148404096