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96821244 = 223413127181
BaseRepresentation
bin1011100010101…
…01111111111100
320202012000210000
411301111333330
5144241234434
613335114300
72253652452
oct561257774
9222160700
1096821244
114a720263
1228512990
131709c9a0
14cc049d2
158777b99
hex5c55ffc

96821244 has 120 divisors (see below), whose sum is σ = 276243968. Its totient is φ = 29393280.

The previous prime is 96821203. The next prime is 96821281. The reversal of 96821244 is 44212869.

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

It is a junction number, because it is equal to n+sod(n) for n = 96821199 and 96821208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 534834 + ... + 535014.

Almost surely, 296821244 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 96821244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138121984).

96821244 is an abundant number, since it is smaller than the sum of its proper divisors (179422724).

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

96821244 is a wasteful number, since it uses less digits than its factorization.

96821244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 326 counting only the distinct ones).

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

The square root of 96821244 is about 9839.7786560471. The cubic root of 96821244 is about 459.1876715581.

It can be divided in two parts, 968212 and 44, that added together give a square (968256 = 9842).

The spelling of 96821244 in words is "ninety-six million, eight hundred twenty-one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 127 156 162 181 234 254 324 351 362 381 468 508 543 702 724 762 1053 1086 1143 1404 1524 1629 1651 2106 2172 2286 2353 3258 3302 3429 4212 4572 4706 4887 4953 6516 6604 6858 7059 9412 9774 9906 10287 13716 14118 14661 14859 19548 19812 20574 21177 22987 28236 29322 29718 41148 42354 44577 45974 58644 59436 63531 68961 84708 89154 91948 127062 133731 137922 178308 190593 206883 254124 267462 275844 298831 381186 413766 534924 597662 620649 762372 827532 896493 1195324 1241298 1792986 1861947 2482596 2689479 3585972 3723894 5378958 7447788 8068437 10757916 16136874 24205311 32273748 48410622 96821244